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A general cylinder created by rotating a rectangle with vertices $(0,0), \quad(a, 0),(0, b),$ and $(a, b)$ around the $y$ -axis. Does your answer agree with the volume of a cylinder?

$a^{2} b \pi$

Calculus 1 / AB

Calculus 2 / BC

Chapter 2

Applications of Integration

Section 6

Moments and Centers of Mass

Integrals

Integration

Campbell University

Oregon State University

Harvey Mudd College

Lectures

01:11

In mathematics, integratio…

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For the following exercise…

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Use cylindrical coordinate…

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a. The segment joining $(0…

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(a) Find the volume of the…

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Find the volume common to …

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In mathematics, integration is one of the two main operations in calculus, w…

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The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

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