`int sqrt(x(x^3+a^3)) dx`

For a gt 0, if I = int sqrt((x)/(a ^(3) -x ^(3)))dx = A sin ^(-1) ((x ^(3//2))/(B))+ C, where C is any arbitary constant, then:

Find int sqrtx/sqrt(a^3-x^3) dx

int(3sqrt(x)+(5)/(x))dx

int sqrt(2-3x^(2))dx

(2) int x sqrt(3-2x-x^(2))dx

2. int sqrt(3-2x-2x^(2))dx

int(3sqrt(x)+5+(2/x))dx

Evaluate the following integrals int sqrt((x)/(a^(3)-x^(3)))dx

Evaluate: int1/(sqrt(3-2x-x^2))\ dx

Evaluate: int1/(x^3sqrt(x^2-a^2))dx