   Chapter 14.6, Problem 6E

Chapter
Section
Textbook Problem

Evaluating a Triple Iterated Integral In Exercises 3-10, evaluate the triple iterated integral. ∫ 0 9 ∫ 0 y / 3 ∫ 0 y 2 − 9 x 2 z   d z   d x   d y

To determine

To calculate: The value of triple iterated integral 090y30y29x2zdzdxdy.

Explanation

Given:

The integral is 090y30y29x2zdzdxdy.

Formula used:

Use the formula xmdx=xm+1m+1; where m is a constant value except for 1.

Calculation:

The integral can be calculated as,

090y30y29x2zdzdxdy=090y3(z22)0y29x2dxdy=090y3(y29x2202)dxdy=0912(y2x9x33)0y3dy=0912(

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