(requires JavaScript)
For each region shown, decide whether to use polar or rectangular coordinates and write the iterated integral , where is an arbitrary continuous function.
a.
b.
c.
d.
e.
f.
Sketch the region whose area is given by the integral and evaluate the integral
Evaluate the integral
by changing to polar coordinates. Here is the region that lies above the within the circle .
Evaluate the integral
by changing to polar coordinates, given that