14.3 Day 2 change of variables

Example 3 Use polar coordinates to find the volume of the solid region bounded above and below by the hemisphere. The region is bounded above by and below by the circular region (note: the region is inside the cylinder)

Solution to problem 3

Example 4 Use a double integral to find the area enclosed by the graph of

Solution to Example 4

Example 5 Find the area of the region bounded above by the spiral and below by the polar axis between

Recall: Use the order drdө Use the order dөdr

Solution to example 5