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Lecture 13

MATH 2B Lecture 13: Trigonometric IntegralsPremium


Department
Mathematics
Course Code
MATH 2B
Professor
ERJAEE, G.
Lecture
13

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02/04/2019
MATH 2B - Lecture 13 - Trigonometric Integrals
Example:
 
Solution:
    
Since       
 u=sinx


 
Because cos²x = 1-sin²x,  .
Strategy for evaluating .
a) If n is odd, then save one “cosxfor differentiation, and use the formula “cos²x =
1-sin²xto change the remaining in term of “sinx
 
 
Then use u-sub: u = sinx
b) If m is odd (m=2k+1), then save one sinx for differentiation, and use the formula
“sin²x = 1 - cos²xto change the remaining in term of cosx.
 
 
 
Then use u-sub: u = cosx
c) If both m and n are even, then use half-angle identities:




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