   Chapter 15.2, Problem 5E

Chapter
Section
Textbook Problem

Evaluate the iterated integral.5. ∫ 0 1 ∫ 0 s 2 cos ( s 3 )   d t   d s

To determine

To estimate: The value of given iterated integral.

Explanation

First, compute the integral with respect to t.

010s2cos(s3)dtds=01[0s2cos(s3)dt]ds=01[tcos(s3)]0s2ds

Apply the limit value for t,

010s2cos(s3)dtds=01(s2cos(s3)0cos(s3))ds=01s2cos(s3)ds

Compute the integral with respect to s.

Let x=s3

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