" *d) "int(x)/(x^(2)+1)dx

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

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

(d) int(x)/(sqrt(x^(2)-1))dx

" (d) "int(dx)/(x^2 sqrt(x))

(d) int(1)/(x sqrt(x))dx

(d)/(dx)(int(1)/(x^(3)(x-1))dx)=

" (*d) "int(1)/(1+cos x)dx

(i) int((x^(2) - 1)/(x^(2) + 1))dx , (ii) int ((x^(6)- 1)/(x^(2) + 1))dx (iii) int ((x^(4))/(1+x^(2)))dx , (iv) int((x^(2))/(1+x^(2)))dx

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

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