7/2 V1 - cos 2x dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 2E
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Trigonometric integrals Evaluate the following integrals.

 

7/2
V1 - cos 2x dx
Transcribed Image Text:7/2 V1 - cos 2x dx
Expert Solution
Step 1

To evaluate

I=0π21-cos2xdx

Step 2

Since,

cos2x=1-2sin2x2sin2x=1-cos2x2sin2x=1-cos2x2 sinx=1-cos2x

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