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Math Help - Integration

  1. #1
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    Integration

    First, I apologize for the straight text version. Sorry.

    I need to resolve this:

    Integral of [e^sqrt(x) / sqrt(x)] dx

    Or, rewriting:

    Integral of [x^(-1/2) * e^(x^(1/2))] dx


    Since the derivative of x^(1/2) is (1/2)*x^(-1/2)

    And the derivative of e^u is equal to (uí * e^u)

    I resoved the inegral above multiplying by (2/2) as follows:

    2* Integral of [(1/2)*x^(-1/2) * e^(x^(1/2))] dx = 2* e^(x^(1/2)) + C

    Can someone please confirm or trash my results?

    If itís incorrect, can you please help?

    Thanks a Lot!
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  2. #2
    Super Member PaulRS's Avatar
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    Oct 2007
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    It's correct

    To see if the result of an integral is right you can just differentiate, remember the Fundamental Theorem of Calculus.
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