" Ex.27"int(x)/(x^(2)+x+1)dx

int (dx)/(x^(2)+x+1)dx is :

int(2-x)/(x(x-1))dx

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

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

int(x)/((x-1)(x-2))dx

int((x+1)(x+2))/(x)dx=

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

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

Evaluate the following integrals. (i) int 1/((x - 2)^2 + 1)dx " " (ii) int (x^2)/(x^2 + 5)dx " " (iii) int 1/(sqrt(1 + 4x)^2)dx

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