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Set up the iterated integral for evaluating $\iiint_{D} f(r, \theta, z) d z r d r d \theta$ over the given region $D$ $D$ is the solid right cylinder whose base is the region between the circles $r=\cos \theta$ and $r=2 \cos \theta$ and whose top lies in the plane $z=3-y$

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$\int_{-\pi / 2}^{\pi / 2} \int_{\cos \theta}^{2 \cos \theta 3-r \sin \theta} \int_{0}^{\pi} f(r, \theta, z) r d z d r d \theta$

Calculus 3

Chapter 15

Multiple Integrals

Section 7

Triple Integrals in Cylindrical and Spherical Coordinates

Oregon State University

Baylor University

University of Nottingham

Boston College

Lectures

04:18

In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. Integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. The area above the x-axis adds to the total.

26:18

In mathematics, a double integral is an integral where the integrand is a function of two variables, and the integral is taken over some region in the Euclidean plane.

02:21

Set up the iterated integr…

02:38

05:24

03:35

02:27

04:37

06:45

04:46

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