   Chapter 7.8, Problem 23E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Evaluating a Double Integral In Exercises 11-24, evaluate the double integral. See ∫ 0 ∞ ∫ 0 ∞ e − ( x + y ) / 2 d y   d x

To determine

To calculate: The double integration 00e(x+y)/2dydx.

Explanation

Given Information:

The provided integration is 00e(x+y)/2dydx.

Formula used:

If a binary function F(x,y) is integrable in domain of ayb and cxd, the double integration cdabF(x,y)dydx can be calculated as follows procedure,

Integrate with respect to y by holding x constant,

cdabF(x,y)dydx=cd[f(x,y)]abdx

Here, function f(x,y) is partial integration of F(x,y) with respect to y variable.

Now, replace the y by limit of integration,

cd[f(x,y)]abdx=cd[f(x,b)f(x,a)]dx

Integrate with respect to x,

cd[f(x,b)f(x,a)]dx=[h(x,b)h(x,a)]cd

Here, the function h(x,b) and is partial integration of f(x,b) with respect to x variable, the function h(x,a) is partial integration of f(x,a) with respect to x variable.

Now, replace the x by limit of integration,

[h(x,b)h(x,a)]cd=[h(d,b)h(c,b)h(d,a)+h(c,a)]

The double integration cdabF(x,y)dydx is [h(d,b)h(c,b)h(d,a)+h(c,a)]

### 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

#### In Exercises 2934, rationalize the denominator of each expression. 34. 2a+b2ab

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### In problems 27-30, find. 28.

Mathematical Applications for the Management, Life, and Social Sciences

#### Sometimes, Always, or Never: The sum of two elementary functions is an elementary function.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 