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

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

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

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

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

Evaluate: (i) int((x^(3) + 4x^(2) -3x -2))/((x+2)) dx , (ii) int((x^(4) +1)/(x^(2) +1))dx

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

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

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