First, start by simplifying the integrand as much as possible (using simple algebraic manipulations or basic trigonometric identities). Not necessarily a simpler form but more a form that we know how to integrate. Go over the reviews of basic integration techniques and common functions: The basics , Common functions.

Next, look for obvious substitution (a function whose derivative also occurs), one that will get you an integral that is easy to do. Here’s a review of simple substitution: Substitution

If you can’t solve the integral using simplification or substitution, it’s time to step up. Try to classify the integrand into one of the following: product of trig powers, rational functions, radicals, or a product of a polynomial and a transcendental function.

Trig functions (product of powers of trig functions: Trig functions, Advanced trig functions

Rational functions ( use partial fractions if the degree of the numerator is less than the degree of the denominator, otherwise use long division), here’s how it’s done: Partial fractions , Long division

Integration by parts (product of a polynomial and a transcendental function: Integration by parts

Radicals (use trig substitution if the integral contains sqrt(a^2+x^2) or sqrt(x^2-a^2), for (ax+b)^1/n try simple substitution ): Trig substitution , Advanced trig substitution

If none of the above techniques work, you should take some more aggressive measures; advanced algebraic manipulations, trig identities, integration by parts with no product (assume 1 as a multiplier). In some cases you need to use multiple techniques. Here are some examples of advanced integration: Advanced integration

The best strategy is to assume easy until easy doesn’t work, always try the simplest techniques first, and remember there is more than one way to solve an integral.

Cheers,

Michal

Thanks you guys !! really helpful .such great work god bless you : )

ReplyDeletemuito bom

ReplyDeleteexcelente

ReplyDeletetks

ReplyDeleteI have spent the last 3 months (3hrs/day) reviewing math apps for iphone and tabe e. This app is far superior to all the other apps that I reviewed. This is the program that I wanted to develop and I am a little envious but realize I just did not have the funds and therefoe the knowledge base. Great program on pc platorm it is even better than for the ios and adnroid.

ReplyDeletevery informative post

ReplyDeleteverasverasvergas

ReplyDeleteYou should also examine this blog article for some hints and tips that you can use to write good essay. Make sure to check it out as soon as possible

ReplyDeleteGet the best Singapore Students Assignment Help services and make sure of academic success. The assignment experts at StudentsAssignmentHelp.com deliver best academic writing help to all the college or university students in Singapore. We work passionately 24x7 and present the best writings.

ReplyDeleteWell great post. I am really glad that I had a good and through read on this topic. Thanks for sharing this excellent information with us. Please check: Love Language Based on Zodiac

ReplyDeleteHi

ReplyDeleteit looks like something is not right in the brackets in the lower half the x is not quite in the right place and it could be this particular calculator is not up to the Amazon Web Services New York task a computer might be better idea as it has the capability rather than the bog standard scientific calculator.

Excellent Post as always and you have a great post and i like it thank you for sharing

ReplyDeleteคาสิโนออนไลน์ที่น่าเชื่อถือและมีความเป็นมืออาชีพที่สุดในตอนนี้

โปรโมชั่นGclub ของทางทีมงานตอนนี้แจกฟรีโบนัส 50%

เพียงแค่คุณสมัคร สล็อตออนไลน์ กับทางทีมงานของเราเพียงเท่านั้น

ร่วมมาเป็นส่วนหนึ่งกับเว็บไซต์คาสิโนออนไลน์ของเราได้เลยค่ะ

สมัครสล็อตออนไลน์ >>> Goldenslot

สนใจร่วมสนุกกับ คาสิโนออนไลน์ คลิ๊กได้เลย

มีทั้งคาสิโนออนไลน์ หวยออนไลน์ ฟุตบอลออนไลน์ สล็อตออนไลน์ และอื่นๆอีกมากมาย

comprehensive clean environment and unclean because it comes multiple factors and the greatest psychological and health damage have spread within the food and also spread in any place that causesشركة مكافحة حشرات بالرياض

ReplyDeleteشركة رش مبيدات بالرياض

افضل شركة مكافحة حشرات

شركة رش مبيدات بالمجمعة

As you order for nursing research paper writing service you must find out if your essay writing company offers extra facilities like making corrections and amendments if there are mistakes made by writers. You can also write my research paper online.

ReplyDeleteAmazing article. Digital Marketing Agency in Lahore

ReplyDeletegeek squad appointment services are one such a team of expert professionals who are highly skilled to provide geek squad chat any technical support witther computers, laptops, phones or any other device. Our geek squad support executives are always available to your rescue, and you could also have webroot geek squad with an agent directly geek squad tech support for instant troubleshooting .There are many tech support companies available online, but the critical point which distinguishes our geeksquad.com services from others is the high-quality tech support services, and instant troubleshooting with geek squad chat with an agent. <a

ReplyDeleteThank you for this wonderful information looking forward for more the best inflatable hot tub with seats offers a practical and economical option to relax and enjoy a quiet and peaceful evening after a hard day at work or in the morning before tackling your day’s schedule. All from Inflatable Hot Tub with Seats

ReplyDeleteCustom Article Review Writing Services you secure from the firm are versatile such as Custom Article Review Help and Legitimate Article Review Writing Help and any other form of writing, contact them for assistance.

ReplyDeleteقال حسين: "يمكن للنمل أن يتلوث الغذاء بالبكتيريا ، ويتلف البنى عن طريق تفريغ الأخشاب من أجل التعشيش (الأضرار الهيكلية خاصة بالنمل النجار) ، ويمكن أن تسبب لسعة مؤلمة (نمل النار)".

ReplyDeleteشركة مكافحة حشرات بتبوك

شركة رش مبيدات بتبوك

كيفية صنع مبيد للنمل بالمنزل

شركة الانوار لرش المبيدات