# Integrating a fxn with f(x^2)

## Homework Statement

http://img857.imageshack.us/i/no34.jpg/ [Broken]

## Homework Equations

The Fundamental Theorem of Calculus, i.e., taking the derivative of an integral yields the original function.

## The Attempt at a Solution

I am not sure how to go about integrating this function because I have never had an integral that has both a variable and a function being multiplied together.

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Char. Limit
Gold Member
Try a u-substitution. u=x^2 should work.

Try a u-substitution. u=x^2 should work.

Wow, I cant believe I didnt try u-sub first!

My final answer came to be
$$\frac{f(b^{2})-f(a^{2})}{2}$$

Thanks!