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Math Help - difficult antiderivative

  1. #1
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    difficult antiderivative

    [the integral of] (4/t^2)i + (te^t)j + 5t*[the square root of](t)k
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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] (4/t^2)i + (te^t)j + 5t*[the square root of](t)k
    Again, do componentwise integration:

    \int\frac{4}{t^2}\,dt=\int 4t^{-2}\,dt=\dots

    \int te^t\,dt -- Use integration by parts.

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

    Can you take it from here?
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