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

int(dx)/(x sqrt(1-x^(3)))

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Evaluate: (i) int(1)/((x+1)(x^(2)+2x+2))dx (ii) int(x^(5))/(sqrt(1+x^(3)))dx

If I=int(x^(2)dx)/(sqrt(1+x^(3)))

I=int(x^(5)dx)/(sqrt(1+x^(3)))

int(dx)/((x+1)sqrt(4x+3)) is equal to

int(x^(5)dx)/(sqrt((1+x^(3))))=...

int(x^(2)dx)/(sqrt(1+x^(3)+sqrt((1+x^(3))^(3)))) is equal to

int(dx)/((sqrt((x-1)^(3)(x+2)^(5)))^((1)/(4)))=