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posted by  luvpurity69 on 8/30/2008 3:36:26 PM  |  status: Live  

calculus question

Course Textbook Chapter Problem
Calculus Calculus: Early Transcendental Functions (4th) by Edwards, Hostetler, Larson N/A N/A
Question Details:

I would like to convert ln(x) to u and then do so I can have xdx = du, please help!
How do I do this problem?

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posted by palmreader on 8/30/2008 3:57:38 PM  |  status: Live
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luvpurity69's comment:
"Thank you. that was very helpful!"
Response Details:
let u = lnx ∴ dx = xdu


since u = lnx, then x = eu

   

use integration by parts:
 let dv = eudu        g = sinu
       v = eu        dg = cosu

∴   

use integration by parts again:
 let dv = eudu      g = cosu
       v = eu         dg = -sinu

∴   
        
        

       
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Tags: Math, Calculus
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