   Chapter 14.1, Problem 1E

Chapter
Section
Textbook Problem

CONCEPT CHECKIterated Integral Explain what is meant by an iterated integral. How is it evaluated?

To determine
An iterated integral along with its method of evaluation.

Explanation

Assuming that a function contains more than one variable, and an integral is applied to these functions, then some of the variables present are taken as a constant.

Therefore, an iterated integral is the integral of function having several variables.

An order is followed to evaluate such an integral, which is given as ‘from integral present inside to that on outside, or first evaluating those in parenthesis’ (if present).

Further, one integral is evaluated initially while making the other a constant, and then solving next one.

General representations are given as follows:

(f(x,y)dx)dyf(x,y)dxdy

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