If \( \phi(x)=\int \cot ^{4} d x+\frac{1}{3} \cot ^{3} x-\cot x \) and \( \phi\left(\frac{\pi}{2...
If \( \phi(x)=\int \cot ^{4} d x+\frac{1}{3} \cot ^{3} x-\cot x \) and \( \phi\left(\frac{\pi}{2}\right)=\frac{\pi}{2} \) then \( \phi(x) \) is
(a) \( \pi-x \)
(b) \( x-\pi \)
(c) \( \frac{\pi}{2}-x \)
(d) none of these
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