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

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Chapter 8.5, Problem 50E
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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 Area by Integration In Exercises 47-52, find the area of the region. See Example 7.

y = x 2 + cos x

Chapter 8.5, Problem 50E, Finding Area by Integration In Exercises 47-52, find the area of the region. See Example 7.

To determine

To calculate: The area bounded by the graph of y=x2+cosx.

Explanation

Given Information:

The provided graph of y=x2+cosx can be shown as:

Formula used:

The formula of definite integral of ∫abcosudu.

∫abcosudu=[sinu]ab

The formula of definite integral of ∫abundu.

∫abundu=[un+1n+1]ab

Calculation:

From provided diagram, the interval [a,b] will be [0, π]. Therefore, area bounded by graph of y=x2+cosx can be calculated as,

∫0π(x2+cosx)dx=∫0πx2dx+∫0πcosxdx=12∫0πxdx+∫0πcosxdx

Integrate with the help of above integration formulae

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Sect-8.1 P-1CPSect-8.1 P-2CPSect-8.1 P-3CPSect-8.1 P-4CPSect-8.1 P-1SWUSect-8.1 P-2SWUSect-8.1 P-3SWUSect-8.1 P-4SWUSect-8.1 P-5SWUSect-8.1 P-6SWU
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True or False: is a convergent series.

Study Guide for Stewart's Multivariable Calculus, 8th

Consider the following data. Period Rate of Return (%) 1 6.0 2 8.0 3 4.0 4 2.0 5 5.4 What is the mean growth ra...

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

Practice Solve each problem. Jazz concerts A jazz group on tour has been drawing average crowds of 500 persons....

College Algebra (MindTap Course List)

In Exercises 1-8, use your own personal experience with the events described to determine whether a E and F are...

Mathematics: A Practical Odyssey

Distinguish between science and pseudoscience.

Research Methods for the Behavioral Sciences (MindTap Course List)

For the following numerical variables, state whether each is discrete or continuous. a. The length of a 1-year-...

Introduction To Statistics And Data Analysis

Over several weeks of normal, or in-control, operation, 20 samples of 150 packages each of synthetic-gut tennis...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Explain how increasing the size of the sample can influence the outcome of a hypothesis test.

Research Methods for the Behavioral Sciences (MindTap Course List)

The following problems are given in scientific notation. Solve and leave answers in scientific notation. Round ...

Mathematics For Machine Technology

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