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March 28, 2017

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integrating e^1/3dx i got 3e1/3 +c pls am i right

  • calculus - ,

    No. e^(1/3) is a constant. It's not a function of x.

    The integral of a constant term (a) is:
    ∫ a dx = ax + C

    Substitute a = e^(1/3).

  • calculus - ,

    On the other hand:

    ∫ e^(x/3) dx
    = 3 ∫ e^u du , where x = 3u, dx = 3du
    = 3 e^(u) + C
    = 3 e^(x/3) + C

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