" प्रश्न 7."int(0)^(1)x(1-x)^(n)dx...

" प्रश्न 7."int_(0)^(1)x(1-x)^(n)dx

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int_(0)^(1)(1-x^(3))^(n)dx=

int_(0)^(1)(x^(7))/(1+x^(8))dx

Evaluate int_(0)^(1)x(1-x)^(n)dx

Evaluate : int_(0)^(1)x(1-x)^(n)dx

The value of (^nC_(0))/(n)+(^nC_(1))/(n+1)+(^nC_(2))/(n+2)+....+(n)/(2n) is equal to a.int_(0)^(1)x^(n-1)(1-x)^(n)dxbint_(1)^(2)x^(n)(x-1)^(n-1)dxc*int_(1)^(2)x^(n-1)(1+x)^(n)dx d.int_(0)^(1)(1-x)^(n-1)dx

Evaluate : (i) int_(0)^(1)x(1-x)^(n)dx (ii) int_(0)^(1)x(1-x)^(3//2)dx

Evaluate : int_(0)^(1)x(1-x)^(n)dx .

What is int_(0)^(1) x(1-x)^(n)dx equal to ?

The value of the integral int_(0)^(1) x(1-x)^(n)dx is -

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