a few questions

1.) find the area enclosed by one loop of the curve r= cos 4 theta

2.) find the area enclosed by one loop of the curve r= 2sin(5theta)

3.) find the area of the region that lies inside the first curve and outside the second curve

r= 5cos(theta)

r= 2+cos(theta)

4.) find the area inside the larger loop and outside the smaller loop of the limacon r= root 3/2 (only the 3 in root) + cos(theta)