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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Calculate the iterated integral.

5. 0 1 0 x cos ( x 2 ) d y d x

To determine

To calculate: The value of given iterated integral.

Explanation

Calculation:

First, compute the integral with respect to y.

010xcos(x2)dydx=01[0xcos(x2)dy]dx=01[ycos(x2)]0xdx

Apply the limit values for y,

010xcos(x2)dydx=01[((x)cos(x2))((0)cos(x2))]dx=01[(xcos(x2))(0)]dx=01(xcos(x2))dx

Compute the integral with respect to x

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Chapter 15 Solutions

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