If f(x)=acos(πx)+b,f′(12)=π and 32∫12f(x)dx=(2π+1) then find th – InterviewSolution

1.	If f(x)=acos(πx)+b,f′(12)=π and 32∫12f(x)dx=(2π+1) then find the value of −12π(sin−1a+cos−1b)
Answer» If $f (x) = a cos (π x) + b, f^{'} (\frac{1}{2}) = π$ and $\frac{3}{2} \int \frac{1}{2} f (x) d x = (\frac{2}{π} + 1)$ then find the value of $\frac{- 12}{π} ({sin}^{- 1} a + {cos}^{- 1} b)$

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