" 41."int(dx)/((x^(3)-1))

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

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

int(dx)/(1+x^(3))

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

int(dx)/((x+1)(x+3))dx

int(1)/(x(1+x^(3)))dx=

int(dx)/(xsqrt(1-x^(3)))dx=

Connect int x^(m-1)(a+bx^(n))^(p)dx with int x^(m-n-1)(a+bx^(n))^(p)dx and evaluate int(x^(8)dx)/((1-x^(3))^(1//3)) .