Intro/Summary of Integration

Kurdt

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

Greg Bernhardt

looks great Kurdt, thanks!

cristo

That's awesome.. good work Kurdt!

Kurdt

Just a note to remind users that this is an informal reference and shouldn't be used as a students only resource for learning.

Big-T

Shouldn't there be some absolute value signs in the section dealing with trigonometric substitution?

cristo

You'll need to be more specific than that!

Big-T

In the middle of page 8 (), it says that [tex]\sqrt{a^2\cos^2x}=a\cos x[/tex].

Kurdt

There should be an updated version coming soon with a few corrections.

free4eternity

Great work, Kurdt. THANKS!

Sci.Jayme

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?

Kurdt

As I have said in a previous post, this is something that should not be used by itself by students. It is made to supplement text books and course notes as more of a quick reference guide. Some people have already pointed mistakes out and thats why I'm working on an updated version (when I get the time). If you spot any please post them in this thread.

NoMoreExams

You might also mention a more generalized version of FTC:

If [tex] F(x) \, = \, \int_{g(x)}^{h(x)} f(t) \, dt [/tex], then [tex] F'(x) \, = \, f(h(x))h'(x) \, - \, f(g(x))g'(x) [/tex]

JeffNYC

Cool man - thanks for sharing this.