   Chapter 14.7, Problem 4E

Chapter
Section
Textbook Problem

Evaluating a Triple Iterated Integral In Exercises 3-8, evaluate the triple iterated integral. ∫ 0 π / 4 ∫ 0 6 ∫ 0 6 − r r z   d z   d r   d θ

To determine

To calculate: The value of provided triple iterated integral 0π40606rrzdzdrdθ

Explanation

Given:

The provided iterated integral is 0π40606rrzdzdrdθ

Formula used:

Use the integration formula

xndx=xn+1n+1

And,

(ab)2=a22ab+b2

Calculation:

Now, First Integrate the function with respect to z taking r as a constant variable then substitute the limit of z.

Then again integrate the obtained function with respect to r and substitute its limits.

Now, again integrate with respect to θ and substitute its limit to get the result.

0π40606rrzdzdrdθ=0π406[rz22]06rdrdθ=0π406(r(6r)220)drd<

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Solve the equations in Exercises 126. x4x2=6

Finite Mathematics and Applied Calculus (MindTap Course List)

Calculate y'. 3. y=x2x+2x

Single Variable Calculus: Early Transcendentals, Volume I

In problems 9 and 10, which of and are subsets of? 10.

Mathematical Applications for the Management, Life, and Social Sciences

Evaluate the integral 31. 0ln10exex1ex+8dx

Single Variable Calculus: Early Transcendentals 