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Thread: Integrate sqrt(t)

  1. June 9th 2010, 12:54 PM #1
    Minino777
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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 07:18 PM. Reason: Re-titled.
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  2. June 9th 2010, 12:59 PM #2
    e^(i*pi)
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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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  3. June 9th 2010, 01:35 PM #3
    Minino777
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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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  4. June 9th 2010, 01:56 PM #4
    e^(i*pi)
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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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