Let p(x) be a polynomial such that p(x+1)p(x)=x2+x+1x2−x+1 and p(2)= – InterviewSolution

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1.	Let p(x) be a polynomial such that p(x+1)p(x)=x2+x+1x2−x+1 and p(2)=3, then ∫10tan−1(p(x))⋅tan−1√x1−x dx is
Answer» Let $p (x)$ be a polynomial such that $\frac{p (x + 1)}{p (x)} = \frac{x^{2} + x + 1}{x^{2} - x + 1}$ and $p (2) = 3$ , then $\int_{0}^{1} {tan}^{- 1} (p (x)) \cdot {tan}^{- 1} \sqrt{\frac{x}{1 - x}} d x$ is

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