Integral of $$$\frac{x^{1 - p} \left(1 - x\right)^{p}}{x^{2} + 1}$$$ with respect to $$$x$$$
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Find $$$\int \frac{x^{1 - p} \left(1 - x\right)^{p}}{x^{2} + 1}\, dx$$$.
Related calculator: Definite and Improper Integral Calculator
Find $$$\int \frac{x^{1 - p} \left(1 - x\right)^{p}}{x^{2} + 1}\, dx$$$.