Calculus 3: Triple integrals
Evaluate a triple integral to find the average temperature over a defined 3D surface.
Evaluate the triple integral .
Find the volume of a cube, where the dimensions of the cube are defined by: , , .
Evaluate the integral .
Find the bounds for the triple integral in rectangular coordinates using the method of collapsing, for the region bounded by the surfaces: the plane , the parabolic cylinder , and the plane .
Integrate the function from 0 to 1 with respect to , then from 0 to 2 with respect to , and finally from 0 to 3 with respect to .
Calculate the definite integral of the function from 0 to with respect to , then from 0 to with respect to , and finally from 0 to 1 with respect to .
Calculate the triple integral of the given region using spherical coordinates, where the region is bounded by a cone and a sphere.
Integrate the region described in spherical coordinates where , , and .
Calculate the volume of a truncated wedge with dimensions: 2 units high, 5 units at the end, 6 units long, and 4 units wide, using a triple integral in rectangular coordinates.
Evaluate the triple integral from 0 to and 0 to 2 and then 0 to of with respect to .
Evaluate the triple integral: .