" (b) "int(2x+1)/(x^(2)+x+1)dx

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

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

int(2x+1)(x^(2)+x+1)^(4)dx=

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

(i) int(dx)/(sqrt(a^(2)-x^(2)))=(1)/(a)sin^(-1)((x)/(a))+c (ii) int(dx)/(a^(2)+x^(2))=tan^(-1)((x)/(a))+c (iii) int(x+1)/(x^(2)+2x+1)dx=(1)/(2)log|(x^(2)+2x+1)| (iv) int(dx)/(x(x-1))dx=log|(x-1)/(x)|+c State which pair of the statement given above is true.

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

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

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

Evaluate: (i) int1/(a^2\ x^2-b^2)\ dx (ii) int(x^2-1)/(x^2+4)\ dx