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

1.	`int x^5/sqrt(1+x^3) dx`
Answer» Correct Answer - `(2)/(9)(1+x^(3))^(3//2)-(2)/(3)(1+x^(3))^(1//2)+C` `Put(1+x^(3))=t^(2)." Then",I=(2)/(3)int(t(t^(2)-1))/(sqrt(t))dt=(2)/(3)int(t^(5//2)-t^(1//2))dt`.

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