Use polar coordinates to calculate $\displaystyle \int \int_R \frac{1}{\sqrt{x^2+y^2}}dA$whereRis the region inside thecardioidr= 1 + sinq and above thex-axis.

In polar form, the equation is just 1/r, right?

I'm having a problem working out the limits here. For the inner integral are the limits $\displaystyle 0\leq r \leq (1+sin\theta)$.

What are the limits for the outer integral? Am i right in thinking the lower limit is also 0 as it's above the x-axis? What about the upper limit? Because it's a cardioid is it $\displaystyle 2\pi$?