LAPORAN PRAKTIKUM INTEGRASI NUMERIK

INTEGRASI NUMERIK

( Laporan Praktikum Fisika komputasi )

Oleh:

Siti Fatkhul Ulum

1417041083 

LABORATORIUM PERMODELAN FISIKA

JURUSAN FISIKA

FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM

UNIVERSITAS LAMPUNG

2016

Latar Belakang

Metode integrasi numerik merupakan integral tertentu yang berdasarkan pada hitungan perkiraan. Seperti pada metode perhitungan integral secara analitik, hitungan integral secara numerik dapat dilakukan dengan membagi luasan dalam sejumlah pias kecil. Jumlah luas semua pias yang disebut dengan luas total. Dalam perhitungan integrasi numerik, metode yang akan dibahas adalah metode Newton-Cotes dan metode Gauss. Pada metode Newton Cotes, ada tiga metode yang sering digunakan, yaitu metode trapesium, Simpson 1/3 dan Simpson 3/8. Metode Newton-Cotes digunakan jika fungsinya diketahui atau fungsinya dalam bentuk tabel, sedangkan metode Gauss digunakan jika fungsinya diketahui (bukan dalam bentuk tabel). Banyak integral tertentu dapat dihitung dengan persamaan, seperti banyak dijumpai dalam buku-buku kalkulus, tapi tidak sedikit integral tertentu yang tidak dapat dihitung dengan persamaan tersebut karena integrand f (x) tidak mempunyai anti derivatif yang dapat dinyatakan dalam bentuk fungsi-fungsi elementer.

Cara yang digunakan untuk mencari solusi integral semacam itu adalah dengan perhitungan integral secara hampiran atau pendekatan, yang hasilnya berupa numerik. Pendekatan semacam ini banyak digunakan para ilmuwan dan insinyur dalam menyelesaikan perhitungan integral yang tidak dapat diselesaikan secara analitik. Maka untuk lebih memahami serta mengetahui mengenai integrasi numeric maka dilakukanlah praktikum percobaan ini dengan menggunakan perrograman matlab agar lebih mudah dan lebih sederhana.

Tujuan Percobaan

 Adapun tujuan dari dilaksanakannya percobaan ini adalah sebagai berikut:

Demikianlah sedikit tentang Laporan Praktikum Integrasi Numerik, untuk lebih lengkap silahkan download disini. semoga bermanfaat.. 🙂

35 Responses to LAPORAN PRAKTIKUM INTEGRASI NUMERIK

  • My spouse and i ended up being so excited when Albert could round up his web research because of the ideas he had through the web page. It’s not at all simplistic to just possibly be giving for free concepts the rest might have been trying to sell. And we all do know we need the website owner to give thanks to for that. All of the illustrations you’ve made, the simple blog menu, the relationships you can help to instill – it’s got many sensational, and it’s helping our son and our family do think this situation is satisfying, which is very essential. Thank you for the whole lot!

  • A lot of thanks for your own work on this website. My mother enjoys engaging in internet research and it’s really obvious why. I hear all of the powerful way you deliver precious steps through the website and even recommend participation from other ones about this subject matter and our own girl is really starting to learn a lot of things. Enjoy the remaining portion of the year. You are carrying out a terrific job.

  • I am glad for commenting to let you be aware of what a incredible encounter our girl developed browsing your blog. She learned such a lot of pieces, which include how it is like to possess an awesome teaching mindset to let men and women completely learn about certain complex things. You actually surpassed people’s expected results. I appreciate you for imparting such valuable, trustworthy, explanatory and also cool thoughts on this topic to Evelyn.

  • Thank you a lot for giving everyone such a spectacular chance to read articles and blog posts from here. It is usually so great and jam-packed with a good time for me personally and my office peers to search your website not less than three times in 7 days to study the latest stuff you have got. Not to mention, I am just usually impressed with all the exceptional principles you give. Some 4 facts in this article are really the best I have ever had.

  • Needed to post you that tiny observation to finally thank you very much once again on the unique solutions you’ve featured on this website. It was extremely generous of people like you to supply easily what many individuals could have offered for an e book to help with making some cash for their own end, particularly seeing that you could possibly have tried it in case you wanted. Those principles as well worked like the fantastic way to fully grasp many people have the same zeal similar to my very own to realize a great deal more with reference to this matter. I am certain there are lots of more fun occasions up front for many who read through your blog post.

  • I would like to show some thanks to the writer for rescuing me from this scenario. As a result of browsing through the world wide web and obtaining things which are not powerful, I assumed my entire life was done. Being alive minus the solutions to the problems you have resolved by way of your report is a serious case, as well as those that might have adversely damaged my career if I had not discovered your blog post. The know-how and kindness in handling everything was invaluable. I am not sure what I would’ve done if I hadn’t encountered such a thing like this. I am able to at this point look forward to my future. Thanks a lot very much for your high quality and result oriented guide. I won’t think twice to recommend your web site to any individual who needs to have guide on this subject matter.

  • Thanks for all your labor on this web site. Debby enjoys getting into investigation and it’s really easy to understand why. A number of us hear all regarding the dynamic tactic you present simple guides by means of the web site and as well as recommend participation from people on that idea while my daughter is truly becoming educated a whole lot. Enjoy the remaining portion of the new year. You’re doing a very good job.

  • I want to point out my passion for your kind-heartedness giving support to individuals that need guidance on this one study. Your real dedication to passing the solution up and down had become quite valuable and have all the time empowered others like me to attain their pursuits. Your entire insightful advice indicates a great deal a person like me and additionally to my peers. Warm regards; from all of us.

  • I intended to put you the very small remark just to thank you over again about the incredible information you have shown at this time. It was really surprisingly generous with you to provide unhampered what some people might have offered for an ebook in making some bucks on their own, notably considering the fact that you might have done it if you ever considered necessary. These points likewise served to provide a great way to comprehend other people online have a similar dream really like my own to find out somewhat more on the topic of this matter. I know there are millions of more enjoyable instances ahead for many who view your blog post.

  • I really wanted to jot down a simple message so as to express gratitude to you for these unique facts you are writing here. My time consuming internet lookup has at the end of the day been recognized with brilliant information to exchange with my colleagues. I ‘d tell you that many of us website visitors are rather endowed to live in a magnificent community with many marvellous professionals with very beneficial tricks. I feel pretty blessed to have come across your site and look forward to some more fabulous moments reading here. Thank you once again for a lot of things.

  • Thanks so much for giving everyone remarkably brilliant chance to read from this site. It really is so good and as well , packed with a lot of fun for me and my office acquaintances to search your website at a minimum three times per week to learn the latest tips you have got. Not to mention, I’m just certainly contented considering the beautiful secrets you give. Certain 2 facts in this post are honestly the simplest we’ve ever had.

  • I intended to write you this tiny observation just to give thanks yet again over the extraordinary basics you have provided above. This has been really wonderfully open-handed of you to provide freely what exactly most of us would have advertised for an e book to get some profit on their own, even more so considering that you might have done it if you ever decided. These points as well acted like the fantastic way to be aware that most people have the same interest really like my very own to find out very much more concerning this issue. I’m sure there are some more fun sessions in the future for folks who discover your blog.

  • I must show thanks to the writer for rescuing me from this type of predicament. Because of scouting throughout the the web and finding methods which were not helpful, I assumed my entire life was gone. Being alive devoid of the solutions to the problems you have resolved through this short post is a serious case, and ones that would have badly damaged my career if I hadn’t come across your blog. Your own talents and kindness in controlling the whole thing was valuable. I’m not sure what I would’ve done if I had not encountered such a step like this. I can at this time relish my future. Thanks a lot very much for your reliable and result oriented help. I will not hesitate to suggest your web sites to any individual who would like assistance about this topic.

  • I intended to write you the very little observation just to give many thanks yet again regarding the spectacular opinions you’ve shared at this time. It has been so extremely generous with you in giving freely what exactly a number of us would’ve advertised as an ebook to generate some bucks for their own end, mostly seeing that you might well have tried it in case you wanted. Those pointers likewise served to be the great way to fully grasp that many people have a similar dream like my personal own to understand many more around this issue. I think there are many more pleasurable periods up front for those who take a look at your blog.

  • I want to express my appreciation to this writer for bailing me out of such a matter. As a result of checking throughout the world-wide-web and coming across methods that were not productive, I assumed my entire life was well over. Being alive devoid of the solutions to the issues you’ve resolved through this site is a crucial case, and those that could have in a negative way damaged my entire career if I had not noticed the blog. Your own talents and kindness in dealing with a lot of stuff was vital. I am not sure what I would have done if I had not encountered such a subject like this. I can also at this point look forward to my future. Thanks for your time very much for this expert and amazing guide. I won’t be reluctant to propose the blog to anybody who should receive guidance on this issue.

  • I am just commenting to make you understand of the extraordinary discovery our daughter gained going through your site. She noticed several details, including what it’s like to have an amazing coaching mindset to let many people without problems completely grasp various problematic subject areas. You undoubtedly surpassed our desires. Thank you for producing the warm and helpful, dependable, edifying and in addition fun tips about your topic to Gloria.

  • I would like to show appreciation to the writer just for bailing me out of this incident. Because of researching through the world-wide-web and obtaining views that were not productive, I believed my entire life was over. Living without the presence of strategies to the difficulties you have fixed all through your good short post is a critical case, as well as ones which may have in a wrong way damaged my entire career if I had not noticed your site. Your personal expertise and kindness in controlling every item was tremendous. I don’t know what I would’ve done if I hadn’t come upon such a stuff like this. It’s possible to now look forward to my future. Thanks a lot so much for this skilled and amazing help. I won’t be reluctant to recommend your blog post to any individual who needs to have direction on this topic.

  • I intended to draft you a very small remark in order to say thanks a lot the moment again on your stunning opinions you’ve discussed on this page. It’s simply seriously generous of you to provide extensively all a few people could possibly have supplied as an electronic book to generate some cash for themselves, chiefly considering that you might have tried it if you considered necessary. Those smart ideas in addition acted as the fantastic way to fully grasp other individuals have the same fervor the same as my own to find out very much more on the subject of this matter. I’m certain there are some more pleasurable sessions up front for those who go through your blog.

  • I would like to point out my gratitude for your kind-heartedness in support of people that really need help on this one concern. Your real commitment to getting the message along has been especially effective and have constantly encouraged individuals like me to arrive at their goals. This valuable hints and tips can mean this much a person like me and far more to my peers. Thank you; from each one of us.

  • Thanks so much for giving everyone an extremely spectacular chance to read in detail from this blog. It can be very pleasant plus full of a good time for me personally and my office friends to visit your web site at least three times every week to read through the newest things you will have. And of course, I’m also at all times motivated with all the spectacular hints you serve. Certain 1 tips in this posting are particularly the very best we have all had.

  • Needed to write you that very small observation in order to give thanks yet again for your personal unique secrets you have provided in this case. It is simply unbelievably open-handed of you to allow unreservedly all a number of people would have offered for sale for an e-book to earn some money for themselves, most importantly considering that you could have tried it if you ever decided. The things also worked to be the great way to fully grasp some people have similar dream like mine to realize many more when it comes to this issue. I’m certain there are some more enjoyable occasions up front for individuals that scan your site.

  • I am also commenting to let you know of the wonderful encounter my friend’s daughter undergone visiting your blog. She mastered numerous pieces, including what it’s like to possess an incredible coaching nature to have others really easily fully grasp several very confusing issues. You truly exceeded our own expected results. Many thanks for supplying such warm and helpful, safe, revealing not to mention fun guidance on that topic to Tanya.

  • I have to express my affection for your kindness in support of women who absolutely need help on this important question. Your very own commitment to passing the message all through was exceedingly productive and has usually enabled somebody like me to arrive at their pursuits. Your personal interesting guideline can mean so much to me and even further to my office colleagues. Thanks a ton; from everyone of us.

  • I definitely wanted to write down a quick message so as to say thanks to you for some of the fabulous guides you are sharing on this site. My rather long internet search has finally been honored with incredibly good content to go over with my family and friends. I would believe that many of us readers are extremely lucky to exist in a perfect network with very many lovely professionals with very beneficial tips and hints. I feel somewhat fortunate to have seen the website page and look forward to really more brilliant moments reading here. Thank you once again for everything.

  • I together with my friends were looking through the excellent information on your website while at once I got a horrible feeling I had not expressed respect to the site owner for those secrets. All the ladies appeared to be so joyful to study them and have now clearly been having fun with those things. Many thanks for simply being well accommodating and for opting for this sort of extraordinary ideas millions of individuals are really eager to be informed on. My sincere regret for not saying thanks to you earlier.

  • I would like to show my appreciation to you for bailing me out of such a scenario. Because of browsing through the the web and finding things that were not beneficial, I figured my life was gone. Existing minus the answers to the issues you have resolved by way of the guideline is a critical case, as well as the kind which might have badly affected my career if I had not encountered the website. Your main training and kindness in handling a lot of stuff was priceless. I am not sure what I would have done if I had not encountered such a stuff like this. I can at this moment relish my future. Thank you so much for this impressive and result oriented guide. I won’t be reluctant to suggest the website to any individual who needs and wants guide on this issue.

  • I would like to point out my appreciation for your kindness supporting individuals who really want help on this particular content. Your personal dedication to getting the solution across appears to be astonishingly informative and has continually made most people just like me to attain their objectives. Your entire informative tutorial denotes a whole lot to me and still more to my peers. With thanks; from each one of us.

  • I simply wanted to write down a simple word to express gratitude to you for all the nice recommendations you are sharing here. My time consuming internet look up has finally been paid with pleasant facts and techniques to exchange with my neighbours. I would express that most of us visitors actually are unquestionably fortunate to exist in a very good site with very many outstanding professionals with great advice. I feel pretty happy to have encountered your entire website and look forward to some more enjoyable minutes reading here. Thanks once more for everything.

  • My husband and i got very fortunate Emmanuel managed to complete his reports through the entire precious recommendations he obtained while using the weblog. It’s not at all simplistic to simply possibly be giving away points which the rest could have been making money from. And we all do know we’ve got the writer to be grateful to for that. The specific explanations you made, the simple blog navigation, the friendships you will make it easier to foster – it is many sensational, and it’s leading our son and our family reason why the situation is fun, and that’s very pressing. Thanks for all!

  • I must show my thanks to you just for rescuing me from such a incident. Because of scouting through the online world and coming across advice that were not pleasant, I assumed my life was done. Existing without the strategies to the issues you have solved as a result of the short post is a critical case, as well as the kind which could have adversely damaged my entire career if I hadn’t discovered your web blog. That capability and kindness in touching almost everything was very helpful. I’m not sure what I would’ve done if I hadn’t discovered such a solution like this. I’m able to at this moment look ahead to my future. Thanks very much for the high quality and effective guide. I won’t be reluctant to propose your blog post to any individual who should get guide on this situation.

  • My husband and i have been absolutely thankful Edward managed to finish off his survey by way of the ideas he came across from your very own site. It is now and again perplexing to just possibly be freely giving guides which usually other folks might have been trying to sell. And we all fully understand we now have the blog owner to thank for this. The main illustrations you have made, the simple website menu, the relationships you will give support to create – it’s mostly extraordinary, and it’s really letting our son and the family feel that that situation is satisfying, which is particularly serious. Thank you for all the pieces!

  • I must express my affection for your kind-heartedness for people who must have assistance with this particular question. Your personal commitment to getting the solution throughout had become wonderfully important and have usually helped most people just like me to achieve their targets. The warm and helpful publication indicates a whole lot to me and even further to my fellow workers. Best wishes; from everyone of us.

  • I simply wanted to write a quick message to thank you for some of the stunning instructions you are sharing here. My time-consuming internet look up has at the end been rewarded with awesome know-how to talk about with my two friends. I would point out that most of us visitors actually are quite lucky to live in a superb community with very many lovely professionals with insightful ideas. I feel very much privileged to have come across your entire weblog and look forward to many more amazing minutes reading here. Thanks again for all the details.

  • My wife and i got very thankful Chris managed to finish up his investigations using the ideas he received out of the weblog. It’s not at all simplistic to simply be giving freely tricks which usually most people might have been selling. Therefore we grasp we’ve got the writer to be grateful to for that. The entire explanations you’ve made, the straightforward website menu, the relationships you will give support to foster – it’s everything wonderful, and it is leading our son and our family consider that this issue is pleasurable, which is certainly especially important. Thanks for all the pieces!

Tinggalkan Balasan