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Integration Question watch

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    can someone please explain how the integral of exp(x)/exp(2x)+1) is acrtan(exp(x)).

    arctan(exp(x)) is defintely the answer, but i need somebody to explain why that is the answer please
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    I'm not sure, but try u = ex
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    yeah i think that might be it, becuase it then becomes u/(u^2)+1 and the (1/u)du makes it 1/(u^2)+1 which is arctan(exp(x))

    cheers bud
 
 
 
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Updated: February 1, 2010

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