Multiple Integrals
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Each question is graded on a single answer: a check that this chapter's methods work, not a test of the reasoning behind them.
Evaluate .
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About these 96 questions
Double and triple integrals, polar, cylindrical and spherical coordinates, and change of variables. This set covers the chapter Multiple Integrals in Calculus: 37 easy, 37 medium and 22 hard questions, each graded instantly with a hint and a full step-by-step solution. Progress is saved in this browser only.
- Double integrals over rectangles — 11 questions
- Double integrals over general regions — 11 questions
- Double integrals in polar coordinates — 13 questions
- Applications: mass, centre of mass, moments and probability — 13 questions
- Surface area — 7 questions
- Triple integrals — 11 questions
- Triple integrals in cylindrical coordinates — 8 questions
- Triple integrals in spherical coordinates — 11 questions
- Change of variables and the Jacobian — 11 questions
For work on paper there is a printable problem set with separate worked solutions.