(11)int(x^(5))/((1-x^(3))^(1/3))dx

int(x^(1/3))/((1+x^(4/3))^(3))dx

Evaluate : (i) int(3x^(2))/((1+x^(6)))dx (ii) int(x^(3))/((x^(2)+1)^(3))dx (iii) (x^(8))/((1-x^(3))^(1//3))dx

int x^(5)(1+x^(3))^((2)/(3))dx

int(x^(3)+5)/((x-5)^(3)(x-1))dx

int[(x)^(1//3)-(1)/((x^())^(1//3))]dx is equal to :

int[(x)^(1//3)-(1)/((x^())^(1//3))]dx is equal to :

int(x^(3)-1)^((1)/(3))x^(5)dx

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

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

If int f(x)dx=psi(x), then int x^(5)f(x^(3))dxint x^(5)f(x^(3))dx(1)/(3)x^(3)psi(x^(3))-3int x^(3)psi(x^(3))dx+C(2)(1)/(3)x^(3)psi(x^(3))-int x^(3)psi(x^(3))dx+C(3)(1)/(3)x^(3)psi(x^(3))-int x^(3)psi(x^(3))dx+C(4)(1)/(3)[x^(3)psi(x^(3))-int x^(2)psi(x^(3))dx]+C