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CalculusCalculus (MindTap Course List)11th Edition

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Chapter 8.3, Problem 3E
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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
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Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
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Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
Problem 75E
Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
Problem 81E
Problem 82E
Problem 83E
Problem 84E
Problem 85E
Problem 86E
Problem 87E
Problem 88E
Problem 89E
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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

Finding an Indefinite Integral Involving Sine and Cosine In Exercises 3-14, find the indefinite integral.

∫ cos 5 x   sin x   d x

To determine

To calculate: The value of indefinite integral given as, ∫cos5xsinxdx.

Explanation

Given:

The required expression is ∫cos5xsinxdx.

Formula used:

Integration of xn is given as,

∫xndx=xn+1n+1+C

Derivative of cosx with respect to x is given as,

ddx(cosx)=−sinx

Calculation:

Finding an indefinite integral of a function means integrating the function without any limits. If limits are applied, they can be done so directly by putting the limits in the integrated expression.

Consider the integral to be I,

I=∫cos5xsinxdx

For the integral, involve powers of sine and cosine,

Put, u=cosx and differentiate both side with respect to x as,

du=−sinxdx

Substitute the value, cosx=u

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Chapter 8.3,
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Chapter 8.3,
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Set up and solve equations for the following business situations. 18. Scott Mason purchased a 4-unit apartment ...

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Add: (12)+(6)

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In Exercises 29 to 36, draw a Venn diagram to show each of the following sets. A(BC)

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Prove each of the following identities. csc2sin=cos2sin

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True or false Label each of the following statements as either true or false, where is subgroup of a group. 8....

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Use algebra to solve the system consisting of the equations 5x-2y=-13 and 3x+5y=17. _

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Elimination of the parameter in x = 2t3/2, y = t2/3 gives: x4 = 16y9 16x4 = y4 x3 = 8y4 8x3 = y4

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True or False: is a geometric series.

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Define the term sample space, and then give the sample space for the chance experiment you described in Exercis...

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Determine sec 14.8527 rounded to 5 decimal places.

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