Calculate the following areas:

1. Limited by the function y=x 2 , the x -axis and the points x = -2 and x = 2.

2. Limited by the function y=6 x e x 2 , the x-axis and the points x = 0 and x = 2.

3. Limited by the function y= 3 x 23 x 33 x the x-axis and the points x = 2 and x = 4. (Tip: You will need a scientific calculator for the last step)

4. Limited by the function y=cos3 x, the x-axis and the points x = 12 (15 )and x = 6 (30 ). (Tip : you may need a scientific calculator for finding some trigonometric values)

5. Limited by the function y=xsinx, the x-axis and the points x = 6 (30 )and x = 3 (60 ). (Tip : you may need a scientific calculator for finding some trigonometric values)