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Math Help - proof

  1. #1
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    proof

    Hi, my teacher gave me this proof to do for homework but I can't figure out where to even start. He wants us to prove that ∫du/(a^2+u^2 ) = 1/a arctan〖u/a〗+C, and also the same thing for the similar arcsin identity. He also said to use differentiation to prove this. Not really sure what to do.
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  2. #2
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    Differentiate \frac{1}{a}\arctan\frac{u}{a} +C and verify that it is equal to \frac{1}{a^2+u^2}.

    Hint: \frac{d}{du}\left( \arctan u \right)=\frac{1}{1+u^2}
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  3. #3
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    thanks.
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