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" 44."quad " (1) "int(0)^(1)x(1-x)^(5)dx...

" 44."quad " (1) "int_(0)^(1)x(1-x)^(5)dx

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int_(0)^(1)x^(2)(1-x)^(5)dx=

int_(0)^(1)x^(4)(1-x)^(5//2)dx=

int_(0)^(1)(x)/((1-x)^(5//4))dx=

int_0^1 x(1-x)^(5/2) dx

int_(0)^(1)(3x^(2)+5x)dx

int_(0)^(1)x(1-x)^(4)dx=(1)/(30)

int_(0)^(1)(1)/((2x+5))dx

int_(0)^(1)(x)/(x+1)dx=

int_(0)^(1)(1)/(1+x)dx=