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anonymous

  • 5 years ago

∫ [(e^x)/(1+e^(2x))] dx

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  1. anonymous
    • 5 years ago
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    Use u substitution and set u equal to the denominator.

  2. anonymous
    • 5 years ago
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    thank u

  3. anonymous
    • 5 years ago
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    No problem.

  4. anonymous
    • 5 years ago
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    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 \[\tan^{e^-x} \]

  5. anonymous
    • 5 years ago
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    thanks i was having problems with just setting the bottom to U

  6. anonymous
    • 5 years ago
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    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

  7. anonymous
    • 5 years ago
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    I would just use the u substitution no need for change of variable to complicate things.

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