" 11."int(1)/(1+x^(2))dx=

int(1)/(x(x^(-11)+1))dx=

int (1)/(4x+5x^(-11))dx

If int(1)/((x+1)(x+2))dx=int[(A)/((x+1))+(B)/((x+2))]dx then values of A and B are

(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

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

int_(-1)^(1)(x-[2x])dx=

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

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

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