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Math Help - finding antiderivatives

  1. #1
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    finding antiderivatives

    [the integral of] (5t*[the square root of](t^2+3)i + sin(pi*t)j + 5t*[the square root of](t)k)dt
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by cottekr View Post
    [the integral of] (5t*[the square root of](t^2+3)i + sin(pi*t)j + 5t*[the square root of](t)k)dt
    Do component wise integration:

    For \int 5t\sqrt{t^2+3}\,dt use the substitution u=t^2+3,

    \int\sin\left(\pi t\right)\,dt=-\frac{1}{\pi}\cos\left(\pi t\right)+C_y

    \int 5t\sqrt{t}\,dt=\int 5t^{3/2}\,dt=\dots

    Can you take it from here?
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  3. #3
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    yes I can, thanks!
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