Solving Difficult Integral Homework Equation w/ Limits 0 to a

[Integral8850]

Homework Statement

Integral a^2 f(x) dx .....limits are 0 to a

I know the answer is... 1/2 Integral (a-x)^2 f(x) dx

Homework Equations

The Attempt at a Solution

I do not know how to approach this problem. I have tried to use the fundamental theorem of calculus its not working. This is a review for a test. Thanks in advance.

 

[Gib Z]

That can't be your answer. a is the upper bound and hence must be a constant with respect to x, so you just take the a^2 out of the integral to the front. Other than that simplification, there's nothing we can do to evaluate or simplify that expression without knowing more about what f(x) is.

Are you sure you have written down the question exactly as it was given?