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Integrals with $\sin ^{2} x$ and $\cos ^{2} x$ Ev…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114 Problem 115 Problem 116 Problem 117 Problem 118 Problem 119

Problem 88 Medium Difficulty

Integrals with $\sin ^{2} x$ and $\cos ^{2} x$ Evaluate the following integrals.
$$\int \sin ^{2} x d x$$

Answer

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 5

Integration

Section 5

Substitution Rule

Related Topics

Integrals

Integration

Integration Techniques

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Problem 11
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Problem 13
Problem 14
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Problem 16
Problem 17
Problem 18
Problem 19
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Problem 24
Problem 25
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Problem 88
Problem 89
Problem 90
Problem 91
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Problem 96
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Problem 98
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Problem 101
Problem 102
Problem 103
Problem 104
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Problem 119

Video Transcript

Okay, problem 88. We have the interval of sine squared of and off a bad. We've really learned anything about all these types of roles. But if you remember your trigonometry, find script. Eggs fehn 1/2 one miles co signed two x and we can use that right here. So we have in a roll 1/2 one minus co sign too T x. That's right. It has 1/2 times several of one minus sine x. We could take the internal of this. So enrolled one just have times minus year old coastline two x assigned to acts of new equals two x Do you equal two d axity people do you So lines coastline you to you too, which is equal to year old co sign todo 1/2 times with sign of you, which is a sign of minus one Fine to act. We'll see that we distribute this 1/2. We're gonna have exit to last 1/4. Time to explore. See, this is the final answer

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William Briggs, Lyle Cochran, Bernard Gillet

Calculus: Early Transcendentals

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