How would I evaluate this integral using the 2nd Fundamental Theorem of Calculus? Thanks in advance.

http://img218.imageshack.us/img218/4903/problemeu5.jpg

Printable View

- Dec 1st 2006, 08:34 PMthedogeevaluating a definite integral
How would I evaluate this integral using the 2nd Fundamental Theorem of Calculus? Thanks in advance.

http://img218.imageshack.us/img218/4903/problemeu5.jpg - Dec 1st 2006, 10:14 PMJameson
Ahh I love these questions.

Let . Thus .

Now rewrite to an integral integral with this substitution.

Now for the bounds.

For the first bound let and for the second let . So the bounds are from 0 to 2.

Got it? :) - Dec 2nd 2006, 08:08 AMtopsquark
- Dec 2nd 2006, 11:18 AMJameson
I don't believe so. Why would it be inifinity? On these problems i=0, then i=n. Is there another way you do it?

- Dec 2nd 2006, 11:36 AMTD!
For the integral, the limits of x are indeed 0 to 2.

- Dec 2nd 2006, 02:12 PMthedoge
Yea that explanation makes sense Jameson, but I'm still not sure how this would be solved once reaching that point. How'd you determine the bounds were 0 and 2?

- Dec 2nd 2006, 02:46 PMThePerfectHacker
- Dec 2nd 2006, 05:58 PMtopsquark