1. The integral: (sinˆ2 (3x) cos(3x) ) dx

2. The integral: (x+2)(x-3)ˆ20 dx

3. The integral from 0 to pi/4: sqrt(tan(x)) secˆ2 (x) ) dx

4. The integral from 0 to 1: ( eˆ(cubed root of x) ) / 6xˆ(2/3) dx

5. Find the area that is enclosed by the curve y=2x-xˆ3 , the line x=1, the line x=5, and the x axis.