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

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

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

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

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

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

int((x^(3)+3x^(2)+3x+1))/((x+1)^(5))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: (i) int(x^(3)-3x^(2)+5x-7+x^(2)a^(x))/(2x^(2))dx (ii) int(cos x)/(1+cos x)dx

int(x^(2)+3)/(x^(6)(x^(2)+1))dx=-(a)/(x)+(b)/(3x^(3))-(d)/(5x^(5))-2tan^(-1)x+c