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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

Evaluate the iterated integral.

6. 0 1 0 e x 1 + e x d w d v

To determine

To estimate: The value of given iterated integral.

Explanation

First, compute the integral with respect to w.

010ev1+evdwdv=01[0ev1+evdw]dv=01[w1+ev]0evd

Apply the limit value for w,

010ev1+evdwdv=01(ev1+ev(0)1+ev)dv=01ev1+evdv

Compute the integral with respect to v.

Let t=ev .

Then, dt=evdv

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Chapter 15 Solutions

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