I'm trying to help my sister out with a calc problem that she has in her study guide, and I no longer remember how to do these. Any help is appreciated (and i'm doing this somewhat off memory)

There are two curves in question: y = 3^x+1 , and y = 5-2x^2

Region M is defined below 3^x+1 and to the left of 5-2x^2, also bounded by x=0 and y=0.

Region N is defined as the section between the two curves.

The questions ask:

1. Find the area of M and N.

2. Find the volume of the solid generated when the region N is rotated about the x-axis.

Thank you