If \( f(x)=\int \frac{d x}{\left(1+x^{2}\right)^{3 / 2}} \) and \( ...

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If \( f(x)=\int \frac{d x}{\left(1+x^{2}\right)^{3 / 2}} \) and \( f(0)=0 \), then the value
\( \mathrm{P} \) of \( f(1) \) is:
(1) \( \frac{1}{\sqrt{2}} \)
(2) \( -\frac{1}{\sqrt{2}} \)
(3) \( \sqrt{2} \)
(4) \( -\sqrt{2} \)
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