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

int (4x^(2) +x+1)/(x^(3) -1) dx=?

Evlauate : int (x^(2)+x+1)/((x-1)^(3))dx

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

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

int_(1)^(2) (x^3+1) dx

int(sin^(- 1)x)/((1-x^2)^(3/2))dx

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

Evaluate the following integrals : (i) int(1)/((x+1)sqrt(2x-3))dx (ii) int(1)/((x+1)sqrt(x^(2)+x-1))dx (iii) int(1)/((x^(2)+3x+3)sqrt(x+1))dx (iv) int(1)/((x^(2)-3x+2)sqrt(x^(2)-2))dx

Evaluate: int(x+x^(2/3)+x^(1/6))/(x(1+x^(1/3)))dx equals

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)) .