Let \( f(x) \) satisfies \( x f^{2}(x)-f(x)=x-1 \forall x \in R \) and \( f(1) \neq \) 0 .
If \(...
Let \( f(x) \) satisfies \( x f^{2}(x)-f(x)=x-1 \forall x \in R \) and \( f(1) \neq \) 0 .
If \( h(x)=\int\left(\frac{f(x)+f(-x)-f^{\prime \prime}(x)}{2-f^{\prime}(x)}\right) f(x) d(x) \) then \( h(3) \) \( -h(2) \) equals
(a) \( \tan ^{-1}\left(\frac{\pi}{4}\right) \)
(b) \( \tan ^{-1}(1) \)
(c) \( \tan ^{-1}(\tan 1) \)
(d) \( \tan ^{-1}(-\tan 1) \)
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