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Math Help - Integral of vector function

  1. #1
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    Integral of vector function

    Can someone check my work?

    \int_{0}^{1}\left(\frac{4}{1+t^2}\overrightarrow{j  }+\frac{2t}{1+t^2}\overrightarrow{k}\right) dt=

    \left[(4tan^{-1}t) \overrightarrow{j}+ln(1+t^2) \overrightarrow{k}\right]_{0}^{1}=

    \pi \overrightarrow{j}+ln(2) \overrightarrow{k}
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  2. #2
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    Re: Integral of vector function

    That looks right
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