Question

Sketch the region and use a double integral to find the area of the region inside both the cardioid r=1+sin(theta) and r=1+cos(theta).

I have worked through the problem twice and keep getting (3pi/4 - sqrt(2)). Can someone please explain how you arrive at, what they say, is the correct answer?

Sketch the region and use a double integral to find its area The region inside both the cardioid r= 1 + sin 0 and the cardioid r= 1 + cosa Choose the correct answer below. OA. O C. OD. Set up the double integral as efficiently as possible, in polar coordinates, that is used to find the area inside the cardioid r= 1 + cos θ until it intersects with r= 1 + sin θ. Notice that because of symmetry, this can be doubled to find the area of the region.

Answer 1