   Chapter 15.1, Problem 23E

Chapter
Section
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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