Chapter 14.1, Problem 1E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
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 â€˜from integral present inside to that on outside, or first evaluating those in parenthesisâ€™ (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:

âˆ«(âˆ«f(x,y)dx)dyâˆ«âˆ«f(x,y)dxdy

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