Chapter 14.3, Problem 12ES

Let R be the region described. Sketch the region R and fill in the missing limits of integration.

${\displaystyle \underset{R}{\iint }f(r,\theta )dA={\displaystyle {\int }_{\boxed{}}^{\boxed{}}{\displaystyle {\int }_{\boxed{}}^{\boxed{}}f(r,\theta )rdrd\theta }}}$

The region inside the circle $r=1$ and outside the cardioid $r=1+\cos \theta .$