Show int(0)^(1)(x^(2)dx)/(sqrt(1-x^(3)))...

Show `int_(0)^(1)(x^(2)dx)/(sqrt(1-x^(3)))=(2)/(3)`

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int_(0)^(1)(dx)/(3sqrt(x))

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

int_(0)^(1/sqrt2)(dx)/(sqrt(1-x^(2)))

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

int_(0)^(1)[(d)/(dx)(sqrt(1+x^(3)))]dx=

int_(0)^(1)x^(3)sqrt(1-x^(2))dx=

int_(0)^(1)x^(3)sqrt(1-x^(2))dx=

int_(1)^(2)(dx)/(sqrt(x^(2)+4x+3))

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

int_(1)^(2)(x^(3)+x+1)/(sqrt(x))dx=

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