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Math Help - Antiderivatives

  1. #1
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    Antiderivatives

    I'm working on evaluating integrals using part two of the fundamental theorem of calculus and am struggling a bit with antiderivatives. I know the basics, and many of them are easy to find but then I get to functions like 2/the square root of (1-t^2). How would I go about finding an antiderivative of something like that?
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  2. #2
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    \int{\frac{dt}{\sqrt{1-{{t}^{2}}}}}=\arcsin t+k.

    Now, if you want to derive this, put t=\sin u.
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  3. #3
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    Umm wow, could you explain how you did that though? This just seems way beyond me.
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