# Calculus Help!

### Calculus Help!

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?
Guest

### Re: Calculus Help!

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

Can you do that integral?

HallsofIvy

Posts: 341
Joined: Sat Mar 02, 2019 9:45 am
Reputation: 119