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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.

23. 0 3 0 π / 2 t 2 sin 3 ϕ d ϕ d t

To determine

To estimate: The value of given iterated integral.

Explanation

Formula used:

If g(x) is the function of x and h(y) is the function of y then,

abcdg(x)h(y)dydx=abg(x)dxcdh(y)dy

Calculation:

Compute the given iterated integral by using the formula stated above.

030π2t2sin3ϕdϕdt=03t2dt0π2sin3ϕdϕ=03t2dt0π2sinϕ(1cos2ϕ)dϕ=[t33]03[cos3

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Chapter 15 Solutions

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