Intro/Summary of Integration

by Kurdt
Tags: integration, intro or summary
 Emeritus Sci Advisor PF Gold P: 4,980 The following PDF contains some notes I prepared and modified slightly for posting here. Its been modified to compliment Hootenanny's differentiation thread. Many thanks to Hootenanny for reviewing it along with Dr. Transport and rbj and others. As ever, any comments, corrections/suggestions can be directed to me by private message. Corrections will be posted in this thread. Hopefully there won't be too many. Intro to Integration 2.pdf
 Admin P: 9,562 looks great Kurdt, thanks!
 Mentor P: 8,316 That's awesome.. good work Kurdt!
 Emeritus Sci Advisor PF Gold P: 4,980 Intro/Summary of Integration Just a note to remind users that this is an informal reference and shouldn't be used as a students only resource for learning.
 P: 64 Shouldn't there be some absolute value signs in the section dealing with trigonometric substitution?
Mentor
P: 8,316
 Quote by Big-T Shouldn't there be some absolute value signs in the section dealing with trigonometric substitution?
You'll need to be more specific than that!
 P: 64 In the middle of page 8 (), it says that $$\sqrt{a^2\cos^2x}=a\cos x$$.
 Emeritus Sci Advisor PF Gold P: 4,980 There should be an updated version coming soon with a few corrections.
 P: 1 Great work, Kurdt. THANKS!
 P: 9 Thank you for this, I will read through it since this is my study level right now. Is this something I can rely on though, as fully accurate?
Emeritus
 P: 626 You might also mention a more generalized version of FTC: If $$F(x) \, = \, \int_{g(x)}^{h(x)} f(t) \, dt$$, then $$F'(x) \, = \, f(h(x))h'(x) \, - \, f(g(x))g'(x)$$