Intro/Summary of Integration

1. Feb 7, 2008

Kurdt

Staff Emeritus
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.

View attachment Intro to Integration 2.pdf

2. Feb 8, 2008

Greg Bernhardt

looks great Kurdt, thanks!

3. Feb 9, 2008

cristo

Staff Emeritus
That's awesome.. good work Kurdt!

4. Apr 9, 2008

Kurdt

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

5. Apr 30, 2008

Big-T

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

6. Apr 30, 2008

cristo

Staff Emeritus
You'll need to be more specific than that!

7. Apr 30, 2008

Big-T

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

8. May 23, 2008

Kurdt

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

9. Aug 11, 2008

free4eternity

Great work, Kurdt. THANKS!

10. Aug 11, 2008

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?

11. Aug 11, 2008

Kurdt

Staff Emeritus
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.

12. Aug 13, 2008

NoMoreExams

You might also mention a more generalized version of FTC:

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

Last edited: Aug 13, 2008
13. Aug 13, 2008

JeffNYC

Cool man - thanks for sharing this.