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" 15."int(0)^(1)x(1-x)^(3/2)dx...

" 15."int_(0)^(1)x(1-x)^(3/2)dx

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

int_0^1 x^2(1-x)^(3/2) dx=

int_(0)^(1)(x^(1/3)+1)^(2)dx

int_(0)^(1)(dx)/(3x+2)

" 2."int_(0)^(1)(x^2)/(1+x^(3))dx

int_(0)^(1)(x^(2))/(3-x^3)dx

int_(0)^(1)x^(2)(1-x)^(3)dx is equal to

int_(0)^(1)x^(2)(1-x)^(3)dx is equal to

int_(0)^(1)x^(2)(1-x)^(3)dx is equal to