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Math Help - Integrate sqrt(t)

  1. #1
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    Integrate sqrt(t)

    \int \sqrt t  dt
    do I apply the constant rule here?
    Last edited by mr fantastic; June 9th 2010 at 08:18 PM. Reason: Re-titled.
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  2. #2
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    Quote Originally Posted by Minino777 View Post
    \int \sqrt t  dt
    do I apply the constant rule here?
    Write \sqrt{t} = t^{\tfrac{1}{2}} and use the power law
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    Power rule...

    \sqrt t= t^{1/2} dt
    t^{1/2} dt= \frac {t^{3/2}}{3/2} + C
    I got it thanks
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    Quote Originally Posted by Minino777 View Post
    \sqrt t= t^{1/2} dt
    t^{1/2} dt= \frac {t^{3/2}}{3/2} + C
    I got it thanks
    Indeed although it is convention to write \frac{1}{\frac{3}{2}} =  \frac{2}{3}

    ie: \frac{2}{3}t^{3/2} + C
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