" (v) "int sqrt((x)/(a^(3)-x^(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:

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 :

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:

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

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

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

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

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

If int sqrt((x)/(a^(3)-x^(3)))dx=(d)/(b)sin^(-1)((x^((3)/(2)))/(a^((3)/(2))))+C (where b&d are coprime integer) then b+d equals to.

int sqrt(x)(x^(3)-4)dx