Thread: Polar Coordinates

Sketch the region that lies inside the polar curve r=2sin(theta) and outside the polar curve r=1, then find the area of the shaded region.

I am able to graph both regions but am not sure how to set up the bounds for the integration. If someone could explain to me how to get the bounds and why that is the [a,b] for the bounds.

Originally Posted by naikn

Sketch the region that lies inside the polar curve r=2sin(theta) and outside the polar curve r=1, then find the area of the shaded region.

I am able to graph both regions but am not sure how to set up the bounds for the integration. If someone could explain to me how to get the bounds and why that is the [a,b] for the bounds.

i tried out the problem and got the bounds of integtation as Pi/6 and 5*Pi /6

can someone confirm this?