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posted by  The Joker on 11/30/2008 9:47:45 PM  |  status: Live  

Substitution Formula and Integration

Course Textbook Chapter Problem
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Question Details:
Use the Substitution Formula in Theorem 6 to evaluate the integrals:
 
1) ∫ 2π3π 3cos2xsinxdx
 
2) ∫216dx/(2x√lnx)
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Tags: Calculus

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posted by A-Rod 7821 on 11/30/2008 10:06:45 PM  |  status: Live
Asker's Rating: Lifesaver   
The Joker's comment:
"Thank you so much! This helped!"
Response Details:
1)
Use U-Substitution
let u=cos(x)
du= -sin(x)dx
du/(-sin(x))=dx
 
 
 
 
---(ANSWER)---
 
2)
Use U-Substitution
let u=lnx
du=(1/x)dx
xdu=dx
 
 
---(ANSWER)---
 
 
 
 
 
 
 
 
 
 
 
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