Calculate the integral from 0 to pi of (x^2)cosxdx

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- Sep 4th 2006, 10:52 AMTexasGirl(x^2)cosx
Calculate the integral from 0 to pi of (x^2)cosxdx

- Sep 4th 2006, 11:08 AMThePerfectHackerQuote:

Originally Posted by**TexasGirl**

---

.

Let and

Then,

and

Thus, by parts,

Now, you do it again,

Let and

Then,

and

Thus, by parts,

Simplify,

Thus,

- Sep 4th 2006, 11:11 AMSoroban
Hello, TexasGirl!

You need to integrate by parts . . . twice!

Quote:

Let:

Then:

And we have: .

Let:

Then:

And we have: .

. . . . . . . . . .

Therefore:. . .

Edit: Too fast for me, TPHacker!