Question

Multivariable Calculus - (Double Integrals)

Let D be the region in the xy-plane bounded by curves, given in polar equations by r=cos(theta), r=(1/sqrt(2))*sin(2theta)

I have found that the area A(D) is 1-(sqrt(2))/4

How do I compute the Double integrals:
//under D (xdA)
//under D (ydA)

Answer 1

\[\int\limits_{}^{}\int\limits_{D}^{}xdA\]
\[\int\limits_{}^{}\int\limits_{D}^{}ydA\]

Answer 2

do u understand what I'm asking? or should I post a picture of the actual question?

Answer 3

First, you have to get rid of these things
then what you have to do to these things is make them side ways and you get
then, make one thing a circle and another thing a thingy thing