1- Find the area inside the loop of the following limacon: r=1020sin

2- Find the area of the region which is inside the polar curve r=7cos(), and outside the curve r=53cos()

3- Find the area of the region inside: r=10sin but outside: r=2

4- Determine a simplified definite integral that represents the arc length of r=2sec(),0/3

5- Determine a definite integral that represents the arc length of r=9+2sin(),02