anonymous
  • anonymous
∫ [(e^x)/(1+e^(2x))] dx
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Use u substitution and set u equal to the denominator.
anonymous
  • anonymous
thank u
anonymous
  • anonymous
No problem.

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anonymous
  • anonymous
take e^x as some variable t => e^x=t differentiate it on both sides u get e^x.dx=dt in the question e^2x can be written as (e^x)^2 so it wil become (t)^2 leave numerator as it is and substitute dx=dt/e^x then u wil get it in standard form. and answer is \[\tan^{e^-x} \]
anonymous
  • anonymous
thanks i was having problems with just setting the bottom to U
anonymous
  • anonymous
u hav to take the variable according to the question. in some questions u r way of taking variable is right and in some its not u hav to look out for the variable which gives u the answer in minimum no of steps for that particular question. it may not be applicable for other questions
anonymous
  • anonymous
I would just use the u substitution no need for change of variable to complicate things.

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