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Math Help - A general power formula question

  1. #1
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    A general power formula question

    Hi. I worked this question many times.

    28-2-20

    (int)2 sqrt(1 - (e^(-x))) ((e^(-x)) dx)

    General Power Formula:
    u^(n+1) / (n + 1) = u^n du

    Attempt:
    u = (1 - e^(-x))
    n = 1/2
    du = -e^(-x) * - 1
    du = e^(-x)

    = (1 - e^(-x))^(1/2) / (3/2)

    Pretty sure this is the wrong direction though, as the answer according to the Ti-89 is much more elaborate

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  2. #2
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    Re: A general power formula question

    Quote Originally Posted by togo View Post
    Hi. I worked this question many times.

    28-2-20

    (int)2 sqrt(1 - (e^(-x))) ((e^(-x)) dx)

    I find your post rather difficult to read.

    Is it \int {2{e^{ - x}}\sqrt {1 - {e^{ - x}}} dx} ~?

    If it is what is the derivative of \frac{4}{3}\sqrt {{{\left( {1 - {e^{ - x}}} \right)}^3}} ~?
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  3. #3
    Senior Member TriKri's Avatar
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    Re: A general power formula question

    Hi togo. Please improve your post it doesn't contain any question and it doesn't say what you are trying to do, so it's a little hard to help you.
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