Question

How to determine the correct limits of integration in finding the area of a polar coordinate?

Answer 1

Fantastic question!

Answer 2

..... :)

Answer 3

Is this a single integral or a double integral?

Answer 4

single..

Answer 5

Sorry for the long reply...didn't like my response. Basically in a single integral the radius r stays constant. We replace x and y by x=rcost and y=rsint where t is the polar angle. The polar angle determines your limits of integration. It varies from it's initial angle to a final angle. See figure below: