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 FIRSTers in particular want very strictly delineated guidelines so that they know exactly what parameters under which they're working, except when they don't. - pfreivald [more] |
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For the second integral, use u substitution:
/ |e^x |-------------dx |1+e^(2x) / / |e^x dx |-------------- |1+(e^x)^2 / Now, let u = e^x so du = e^x dx Substituting, we have: / |1 |------------du |1 + u^2 / = arctan(u) + C = arctan(e^x) + C 
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