Quick Integral Help please

  • Thread starter soe236
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  • #1
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1. integral(e^(2x)/[tex]\sqrt{}(e^2^x+1)[/tex])dx and integral(e^(x)/[tex]\sqrt{}(e^2^x+1)[/tex])dx







3. I tried solvign by letting u=e^x and used trig substitution for [tex]\sqrt{}u^2+1[/tex] where x=tan(theta), d(theta)=sec^2(theta), [tex]\sqrt{}u^2+1[/tex]=sec(theta) but got stuck
 

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  • #2
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[tex]\int\frac{e^{2x}}{\sqrt(e^{2x}+1)}dx[/tex] letting

[tex]t^{2}=e^{2x}+1=>2tdt=2e^{2x}dx=>tdt=e^{2x}dx[/tex],
I think you can go from here, right? Similarly try the other, and show a little more work please!
 

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