Calculus 3: Double integrals
Set up a generic integral for the region bounded by the curves and , using the order of iteration .
Given an iterated integral with a function having in the denominator, reverse the order of integration to simplify the integral.
Find the volume of the solid bounded by the surfaces and over the region where and .
Find the area bounded by the curves and using the double integral technique.
Solve a double integral problem using the Fundamental Theorem of Calculus.
Using the double integral method, find the volume of the given surface projected onto the xy-plane over a specified rectangular region.
Compute the volume under the surface given by over the rectangular region where is between and and is between and .
Set up a generic integral for the region bounded by the curves and , using the order of iteration .
Given an iterated integral with a function having in the denominator, reverse the order of integration to simplify the integral.
Find the volume of the solid bounded by the surfaces and over the region where and .
Find the area bounded by the curves and using the double integral technique.
Solve a double integral problem using the Fundamental Theorem of Calculus.
Find the volume under the surface where ranges from 0 to 1 and ranges from 1 to 3.
Find the volume under the surface over the region bounded by and .
Solve a double integral problem involving a function of two variables over a specified domain.
Find the volume under the surface and above the -plane.
Find the surface area of the part of the function that lies inside the circle using double integrals.
Evaluate the integral .