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

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

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

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

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

int(x^(2)-1)/(x^(3)-3x-9)dx

int((9x^(2)-4x+5))/((3x^(3)-2x^(2)+5x+1))dx

Evaluate: (i) int(5x^(2) + 2x^(-5) - 7x + 1/(sqrt(x)) +5/x) dx (ii) int(3sinx - 4 cosx + 5 sec^(2) x - 2cosec^(2)x) dx (iii) int(1-x)(2+3x)(5-4x)dx (iv) int((3x^(4) - 5x^(3) + 4x^(2) -x + 2)/(x^(3)))dx , (v) int(x^(2) + 1/(x^(2)))^(3) dx

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

int(x+(1)/(x))^(3/2)((x^(2)-1)/(x^(2)))dx is equal to (A) (1)/(3)(x+(1)/(x))^(3)+C (B)(2)/(5)(x+(1)/(x))^(5/2)

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