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Set up the iterated integral for evaluating $\iiint_{D} f(r, \theta, z) r d z d r d \theta$ over the given region $D$.$D$ is the solid right cylinder whose base is the region in the $x y$ -plane that lies inside the cardioid $r=1+\cos \theta$ and outside the circle $r=1$ and whose top lies in the plane $z=4$(FIGURE CANNOT COPY)

$\int_{-\pi / 2}^{\pi / 2} \int_{1}^{1+\cos \theta} \int_{0}^{4} f(r, \theta, z) r d z d r d \theta$

Calculus 1 / AB

Calculus 3

Chapter 14

Multiple Integrals

Section 7

Triple Integrals in Cylindrical and Spherical Coordinates

Integrals

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In mathematics, an integra…

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In mathematics, a double i…

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Set up the iterated integr…

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Give the limits of integra…

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Use cylindrical coordinate…

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Let $D$ be the region boun…

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