Find the indefir COS cos ( TX ) di 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 75E
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Question
6)
Find the indefinite integral :
cos ( TX ) dx
sin³ ( Tx )
Transcribed Image Text:6) Find the indefinite integral : cos ( TX ) dx sin³ ( Tx )
Expert Solution
Step 1

The given integral is , cosπxsin3πxdx

Substitute usinπx.

dudx=πcosπx

dx=1πcosπxdu

Therefore the integral becomes,

1πduu3=1π-12u2

 

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