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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 7.8, Problem 7E
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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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Finding Partial Integrals In Exercises 1-10, find the partial integral. See Example 1.

∫ x 3 x ( x 2 + 3 y 2 ) d y

To determine

To calculate: The partial integration ∫x3x(x2+3y2)dy.

Explanation

Given Information:

The integration is ∫x3x(x2+3y2)dy.

Formula used:

If a binary function F(x,y) is integrable in domain of a≤y≤b and c≤x≤d, the partial integration ∫abF(x,y)dy can be calculated as follows procedure,

Integrate with respect to y by holding x constant,

∫abF(x,y)dy=[f(x,y)]ab

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,

[f(x,y)]ab=[f(x,b)−f(x,a)]

The double integration ∫abF(x,y)dy is [f(x,b)−f(x,a)]

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Chapter 7.8,
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Chapter 7.8,
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Sect-7.1 P-1CPSect-7.1 P-2CPSect-7.1 P-3CPSect-7.1 P-4CPSect-7.1 P-5CPSect-7.1 P-6CPSect-7.1 P-7CPSect-7.1 P-1SWUSect-7.1 P-2SWUSect-7.1 P-3SWU
Sect-7.1 P-4SWUSect-7.1 P-5SWUSect-7.1 P-6SWUSect-7.1 P-7SWUSect-7.1 P-8SWUSect-7.1 P-1ESect-7.1 P-2ESect-7.1 P-3ESect-7.1 P-4ESect-7.1 P-5ESect-7.1 P-6ESect-7.1 P-7ESect-7.1 P-8ESect-7.1 P-9ESect-7.1 P-10ESect-7.1 P-11ESect-7.1 P-12ESect-7.1 P-13ESect-7.1 P-14ESect-7.1 P-15ESect-7.1 P-16ESect-7.1 P-17ESect-7.1 P-18ESect-7.1 P-19ESect-7.1 P-20ESect-7.1 P-21ESect-7.1 P-22ESect-7.1 P-23ESect-7.1 P-24ESect-7.1 P-25ESect-7.1 P-26ESect-7.1 P-27ESect-7.1 P-28ESect-7.1 P-29ESect-7.1 P-30ESect-7.1 P-31ESect-7.1 P-32ESect-7.1 P-33ESect-7.1 P-34ESect-7.1 P-35ESect-7.1 P-36ESect-7.1 P-37ESect-7.1 P-38ESect-7.1 P-39ESect-7.1 P-40ESect-7.1 P-41ESect-7.1 P-42ESect-7.1 P-43ESect-7.1 P-44ESect-7.2 P-1CPSect-7.2 P-2CPSect-7.2 P-3CPSect-7.2 P-1SWUSect-7.2 P-2SWUSect-7.2 P-3SWUSect-7.2 P-4SWUSect-7.2 P-5SWUSect-7.2 P-6SWUSect-7.2 P-1ESect-7.2 P-2ESect-7.2 P-3ESect-7.2 P-4ESect-7.2 P-5ESect-7.2 P-6ESect-7.2 P-7ESect-7.2 P-8ESect-7.2 P-9ESect-7.2 P-10ESect-7.2 P-11ESect-7.2 P-12ESect-7.2 P-13ESect-7.2 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Mathematical Excursions (MindTap Course List)

Once an individual has been infected with a certain disease, let X represent the time (days) that elapses befor...

Probability and Statistics for Engineering and the Sciences

Find the distance between the centers of the two end-holes of the plate in Illustration 4. ILLUSTRATION 4

Elementary Technical Mathematics

Simplify a11+(4)+20 b 16(4) c2(1)(3)

Intermediate Algebra

Show that the shortest distance from the point (x1, y1) to the straight line Ax + By + C = 0 is |Ax1+By1+C|A2+B...

Single Variable Calculus: Early Transcendentals

In Exercise 1 to 10, classify each statement as true or false. CE=ED

Elementary Geometry For College Students, 7e

30.In the statement of the Division Algorithm(Theorem 8.10), prove that the greatest common divisor of and is...

Elements Of Modern Algebra

Perform the indicated operation for the following. 3. $24.66 + $19.72 + $.89

Contemporary Mathematics for Business & Consumers

Graph one complete cycle for each of the following. In each case, label the axes accurately and state the perio...

Trigonometry (MindTap Course List)

Using Parametric Equations In Exercises 5-22, sketch the curve represented by the parametric equations (indicat...

Calculus of a Single Variable

Finding Parametric Equations In Exercises 51-54, find two different sets of parametric equations for the rectan...

Calculus: Early Transcendental Functions (MindTap Course List)

In Review Exercises 5 to 10, BA is tangent to the circle at point A in the figure shown. Given:Cisthemidpointof...

Elementary Geometry for College Students

In Exercises 2730, fill in the missing entries by performing the indicated row operations to obtain the row-red...

Finite Mathematics for the Managerial, Life, and Social Sciences

Suppose the price (demand function) for an item is p = 16 0.0 lx, where x is the number of items. If the cost ...

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

The graph of is: a) b) c) d)

Study Guide for Stewart's Multivariable Calculus, 8th

Finding Extrema and Saddle Points Using Technology Consider the function f(x,y)=(x2+y2)e(x2+y2),0. (a) Use a co...

Multivariable Calculus

Hooke's Law A force of 50 pounds stretches a spring 1 inch from its natural position. Find the work done in str...

Calculus (MindTap Course List)

CONCEPT CHECK First-Order What does the term 'first-order refer to in a first-order linear differential equatio...

Calculus

Self Check Find two functions f and g such that f-g=h. Let hx=x2+3x+2.

College Algebra (MindTap Course List)

Express the following decimal fractions as common fractions. Reduce to lowest terms. 37. 0.687

Mathematics For Machine Technology

We are only beginning to learn about the long-term effects of space travel on human health. A study published i...

Introduction To Statistics And Data Analysis

What are the five steps of the scientific method?

Research Methods for the Behavioral Sciences (MindTap Course List)

Describe, compare, and contrast the five research strategies (descriptive, correlational, experimental, quasi-e...

Research Methods for the Behavioral Sciences (MindTap Course List)

The daily high and low temperatures for 14 cities around the world are shown (The Weather Channel, April 22, 20...

Statistics for Business & Economics, Revised (MindTap Course List)

A partial relative frequency distribution is given. Class Relative Frequency A .22 B .18 C .40 D a. What is th...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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