Nov 16, 2022 · Here is a set of practice problems to accompany the Triple Integrals section of the Multiple Integrals chapter of the notes for Paul Dawkins Calculus III course at Lamar University.

Problems 17 - 20 and 25 - 32 are from Section 15.4, OpenStax Calculus 3 by Gilbert Strang (MIT) and Edwin “Jed” Herman (Harvey Mudd) with many contributing authors.

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.

Know how to set up and evaluate triple integrals over more general regions by using Theorem 14.5.2 (projecting the solid onto the xy-plane), as well as by projecting the solid onto the xz- or yz-planes.

Given a 3D scalar field, find the triple integral between three numeric or variable bounds.

Oct 1, 2025 · Below are the steps that can be followed for solving Triple Integral Problems : Step 1: The first step for solving problems involving triple integral is to identify what are the variable and their …

I want to compute one of the most important triple integrals in physics-"the gravitational attraction of a solid sphere." For some reason Isaac Newton had trouble with this integral.

(b) Write a triple integral that gives the volume of U. Convert this to an iterated integral in the order dz dy dx. How does this integral relate to the one you wrote down in (a)?

In each of the following, set up and evaluate a triple integral which gives the volume of the (unique!) finite region bounded by the surfaces whose equations are given.

Repeated/Iterated Integrals Complexity of double integrals comes from two sources: