Evaluate the definite integral. TT ["sin5(x) dx

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter6: Rates Of Change
Section6.5: Equations Of Change: Graphical Solutions
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Tutorial Exercise
Evaluate the definite integral.
sin5(x) dx
Step 1
To solve the integral
sin (x) dx, first rewrite the integral.
L(sin (x)
sin(x) dx,
sin (x)
Step 2
Since sin2(x) = 1 - cos-(x), we have the following.
TT
sin (x) sin(x) dx =
(1 – cos?(x))( 1- cos (x)
sin(x) dx
2 cos (x)
+ cos“(x) sin(x) dx
%3D
Transcribed Image Text:Tutorial Exercise Evaluate the definite integral. sin5(x) dx Step 1 To solve the integral sin (x) dx, first rewrite the integral. L(sin (x) sin(x) dx, sin (x) Step 2 Since sin2(x) = 1 - cos-(x), we have the following. TT sin (x) sin(x) dx = (1 – cos?(x))( 1- cos (x) sin(x) dx 2 cos (x) + cos“(x) sin(x) dx %3D
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