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  1. #1
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    Intregrating...

    How does one integrate 1/(2)(x^1/2)?
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    MHF Contributor harish21's Avatar
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    Quote Originally Posted by bobsanchez View Post
    How does one integrate 1/(2)(x^1/2)?
    Your notation is unclear:

    is it \int  \frac{1}{2} \sqrt{x}?

    or is it \int \frac{1}{2 \sqrt{x}} ?
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    Quote Originally Posted by harish21 View Post
    Your notation is unclear:

    is it \int \frac{1}{2} \sqrt{x}?

    or is it \int \frac{1}{2 \sqrt{x}} ?
    It is the second one. My apologies.
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  4. #4
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by bobsanchez View Post
    It is the second one. My apologies.
    That expression is equal to

    \frac{1}{2} \int x^{\frac{-1}{2}} dx

    remember: \int x^n = \frac{x^{n+1}}{n+1}

    You should be able to finish your question now!
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  5. #5
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    Quote Originally Posted by harish21 View Post
    That expression is equal to

    \frac{1}{2} \int x^{\frac{-1}{2}} dx

    remember: \int x^n = \frac{x^{n+1}}{n+1}

    You should be able to finish your question now!
    Indeed. Thank you.
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