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" 26)."int(0)^(1)x(1-x)^(n)dx...

" 26)."int_(0)^(1)x(1-x)^(n)dx

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

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

Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a - x)dx and hence evaluate the following: (d) int_(0)^(1)x(1 -x)^(n)dx .

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

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

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

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

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

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