Calculus Help!

[Guest]

Hi I'm quite confused about this question, idk if I got the right answer of -1?

Find the exact area of the region bounded between the graph of f(x)=2x(1−x^2), the x-axis and the lines x=0 and x=1.

I got -1? Is that correct?

[HallsofIvy]

The area bounded by "[tex]f(x)=2x(1−x^2)[/tex], the x-axis and the lines x=0 and x=1" is given by
[tex]\int_0^1 2x(1- x^2) dx= 2\int_0^1 (x- x^3)dx[/tex]

Can you do that integral?