Help with integration!!!!

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  1. E.R.S's Avatar
    • Junior Member
    • Posts: 43
    Help with integration!!!!
    Hey, can someone please help me with this integration??? I have no idea how to do it, it could be integration by substitution but i don't know how to go about attempting it.

    Basically:

    e^x .dx
    -----------
    2 + e^x

    How do you go about integrating this??

    Thank you
  2. just george's Avatar
    • Exalted Member
    • Posts: 357
    Re: Help with integration!!!!
    integrates to ln(2+e^x) + c i think

    basically you need to spot that the numerator is the differential of the denominator, and the integral of f'(x) / f(x) = ln f(x) + c
  3. raheem94's Avatar
    • TSR Demigod
    • Posts: 5,512
    Re: Help with integration!!!!
    (Original post by E.R.S)
    Hey, can someone please help me with this integration??? I have no idea how to do it, it could be integration by substitution but i don't know how to go about attempting it.

    Basically:

    e^x .dx
    -----------
    2 + e^x

    How do you go about integrating this??

    Thank you
    consider y=ln|2+e^x|
  4. boromir9111's Avatar
    • TSR Legend
    • Location: Here and There
    • Posts: 10,801
    Re: Help with integration!!!!
    It's of the form, f'(x)/f(x).......simplify this shizzle.
  5. E.R.S's Avatar
    • Junior Member
    • Posts: 43
    Re: Help with integration!!!!
    Omg thanks for the help wow i feel so stupid now for not seeing that straight away :L i've literally been stuck on this question for a good 30 minutes well at least I won't get it wrong again in the future

    Thank you!!!!
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