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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

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BuyFindarrow_forward

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

Evaluating a Triple Iterated IntegralIn Exercises 49–52, evaluate the triple iterated integral.

0 3 π / 2 π 2 5 z sin x d y d x d z

To determine

To calculate: The value of the integral 03π2π25zsinxdydxdz with triple iterated.

Explanation

Given:

The triple iterated integral is 03π2π25zsinxdydxdz.

Formula used:

Integration formula:

abxndx=[xn+1n+1]ab

basinxdx=[cosx]ba

Calculation:

Consider the givenintegral:

03π2π25zsinxdydxdz

Assume remaining variable constant andintegrate the provided expression with respect to y,

03π2π25zsinxdydxdz=03π2π[yzsinx]25dxdz=03

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Chapter 14 Solutions

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