This question is regarding finding the area under a polar curve using double integrals in polar coordinates.

The question goes like this:

Find the area of the region bounded by the cardiod, r = 1+sin(theta) ?

I have attempted the question and my answer is coming out to be 3pi/2. Is it correct ?

Also please do specify the limits to be taken for theta .

Please use double integrals in polar coordinates.

Help will be appreciated.