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Integration by parts 
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#1
Aug2904, 02:06 AM

P: 42

hi, i would like help on a problem i am currently stuck on.
[tex]\int(e^x)/(1+e^(2x))dx[/tex] < it's suppose to be [tex]\int[/tex] (e^x)/(1+e^(2x))dx using integration by parts, here's what i done: u=e^x du=e^x dv=(1+e^(2x)) v = (need to use antidifferentiation, which i dont remeber....) can i use integration by parts with this? this is cal 2. 


#3
Aug2904, 07:26 AM

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P: 1,123

Erm, byparts doesn't seem to make sense because actually:
[tex]u = e^x[/tex] [tex]dv = \frac{1}{1 + e^{2x}}[/tex] To me, it just looks like it is going to get nastier and nastier. I would suggest using the substitution [itex]t = e^x[/itex] because [itex]dt = e^xdx[/itex] and if you look at the integral like this it becomes quite simple: [tex]\int \frac{e^x dx}{1 + \left( e^x \right)^2} [/tex] 


#4
Aug3004, 02:43 PM

Sci Advisor
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P: 2,887

Integration by parts
I would not try an integration by parts. I would simply do a simple substitution u= e^x. Then you have the integral of du/(1+u^2) which is a basic one. Pat 


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