# How to master integration and differentiation?

We have learnt in school about differentiation and integration, however I find my knowledge fairly poor. I mean I have problems with taking the derivative/integral even simple functions. So I would like to get some links to articles and guides where I could learn the derivatives and primitive functions of elementary functions and also familiarize with basic techniques to evaluate these.

• How about free apps like play.google.com/store/apps/… – Rorschach Nov 12 '17 at 14:36
• What if one has no smartphone? – gen Nov 12 '17 at 17:37
• One better has one even if its cheap. – Rorschach Nov 13 '17 at 12:32

First of all, if you're struggling with derivatives, you've got almost three strikes against you when it comes to knowing how to integrate! So focus first on getting very familiar with derivatives. Then integration follows much more easily.

For both taking derivatives and integrating, Paul's Online Math Notes are an excellent source for tutorials, practice problems, and "cheat sheets". I've linked you to the notes involving derivatives. You can review just about everything covered in Calculus I, II, and III, all at the same site, by navigating the tabs and the menu on the left of the webpages.

For quick guides ("cheat sheets"), Paul's Notes provides links here to pdf documents that you can download to your own computer for reviewing "off-line."

For your convenience, I'll include links to the study sheet on derivatives, and the study sheet on integrals.

IMPORTANT:

Apart from that, but more importantly, if you want to master taking derivatives of functions, and integration, you'll need to devote yourself to practice, and lots of it. Mathematics is not a spectator sport. To develop competence and mastery, you need to do math, and not just "read about it."

• Good to see you again. – mrs Nov 17 '13 at 16:41
• Paul's Online notes also includes practice problems. – Simply Beautiful Art Dec 9 '16 at 21:13
• "Paul's Online Math Notes are an excellent source for tutorials, practice problems, ... Refer to my first sentence in the second paragraph. Though, it never hurts to emphasize the practice problems! – Namaste Dec 9 '16 at 21:27

Khan Academy has a brilliant playlist for calculus which covers everything from epsilon-delta limit to chain rules and definite and indefinite integrals. Also you might want to check out this article at acko.net to get a tangible feel for limits.

One of the best ways to improve on differentiation and integration is to do tons of problems. It is very important to focus on differentiation before you start integration. A strong understanding of differentiation makes integration more natural. I recommend looking at James Stewart's Calculus textbook. It has hundreds of differentiation and integration problems. If you need help and want to see solved problems step-by-step, then Schaum's Outlines Calculus is a great book that is inexpensive with hundreds of differentiation and integration problems. The more problems you solve the easier it becomes.

I you want to improve in derivaties and integrals at the same time, you can write any function and calcule its derivaty. Then you try to return to the original... integrating.

## protected by Community♦Mar 16 '18 at 18:50

Thank you for your interest in this question. Because it has attracted low-quality or spam answers that had to be removed, posting an answer now requires 10 reputation on this site (the association bonus does not count).