Without computing any antiderivatives, evaluate where is the square with corners , , and .
Without computing any antiderivatives, evaluate where is the square with corners , , and .
Evaluate where is the square with corners , , and .
Consider . Sketch the region we are integrating over.
Let be the region defined to be the interior of the cylinder between and . Sketch this region and evaluate .
Let be the region in the first octant, inside and under . Sketch this region and evaluate .
Evaluate over the interior of .