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

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

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

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

Evaluate: (i) int(1)/(sqrt(a^(2)-b^(2)x^(2)))dx (ii) int(1)/(sqrt((2-x)^(2)+1))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) inte^(x)((1)/(x)-(1)/(x^(2)))dx (ii) inte^(x)((1)/(x^(2))-(2)/(x^(3)))dx (iii) inte^(x){sin^(-1)x+(1)/(sqrt(1-x^(2)))}dx (iv) inte^(x)(tanx+logsecx)dx

I=int(1)/(x^(3)+x^(2)+x+1)dx

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

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