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  1. Find the derivative of \(f(x) = \arctan(x)\).
    \(\frac{d}{dx}(\arctan(x))=\)
  2. Hence, find the indefinite integral \(\displaystyle\int \frac{1}{1+x^2} \,dx\).
    \(\displaystyle\int \frac{1}{1+x^2} \,dx =\)