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If f(x)=int0^sinx cos^-1t dt+int0^cosx s...

If `f(x)=int_0^sinx cos^-1t dt+int_0^cosx sin^-1t dt, 0ltxltpi/2`, then `f(pi/4)=` (A) `0` (B) `pi/sqrt(2)` (C) `1` (D) none of these

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