# Math Help - Check these for me?

1. ## Check these for me?

1) Find area between the curves of y = 2x and y = x^2 -4x
I got 36

2) Find area between the curves of x^2 and x
I got 1/6

Am I right?

2. Originally Posted by Morgan82
1) Find area between the curves of y = 2x and y = x^2 -4x
I got 36

2) Find area between the curves of x^2 and x
I got 1/6

Am I right?
both are correct

3. I got 36 on the first one, but the second I got 2/3

$\int_{0}^{2}2xdx-\int_{0}^{2}x^2dx=\frac{2}{3}$

4. Originally Posted by integral
I got 36 on the first one, but the second I got 2/3

$A_R=\int_0^1(x-x^2)dx=(\frac{x^2}{2}-\frac{x^3}{3})|_0^1=\frac{1}{2}-\frac{1}{3}=\frac{1}{6}$