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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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HOW DO YOU SEE IT? Complete the double integrals so that each one represents the area of the region R (see figure).

(a) A r e a = d x d y

(b) A r e a = d y d x

Chapter 7.8, Problem 50E, HOW DO YOU SEE IT? Complete the double integrals so that each one represents the area of the region

(a)

To determine

The complete double integral for the expression Area=dx dy such that it represents the area of the region R shown below in the figure as,

Calculus: An Applied Approach (MindTap Course List), Chapter 7.8, Problem 50E , additional homework tip  1

Explanation

Given Information:

The provided expression is Area=dx dy and the graph of the region R is shown below in the figure as,

Consider the expression Area=dx dy

By observation of the provided graph, it is observed that the region R is bounded on the left by the equation y=x and on the right by the line y=x2.

So, on solving for y in the equation y=x the bounds for x would be y2x2y, which implies that it is the inner limit of integration

(b)

To determine

The complete double integral for the expression Area= dydx such that it represents the area of the region R shown below in the figure as,

Calculus: An Applied Approach (MindTap Course List), Chapter 7.8, Problem 50E , additional homework tip  2

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