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Evaluate int(0)^(1)(tx+1-x)^(n)dx, wh...

Evaluate `int_(0)^(1)(tx+1-x)^(n)dx`, where n is a positive integer and t is a parameter independent of x . Hence , show that ∫ 0 1 ​ x k (1−x) n−k dx= [ n C k ​ (n+1)] P ​ fork=0,1,......n, then P=

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The correct Answer is:
`(1)/(n+1)((t^(n+1)-1)/(t-1))`
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VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Advanced (Archive)
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