[" 22.(i) "int(1)/(x(x+1)^(2))dx],[" (ii) "int(1)/((x+1)^(2)(x-1))dx]

Evaluate: (i) (x^(2)+3x-1)/((x+1)^(2))dx (ii) int(2x-1)/((x-1)^(2))dx

(i) int(1)/((1+cos2x))dx , (ii) int (1)/((1-cos2x)) dx

int (dx)/((x+1)(2x+1)) (ii) int (x-1)/((x-2)(x-3)) dx .

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

(i) int 1/((x^2+1)(x^2+4)) dx (ii) int 1/((x^2+1)(x^2+2)) dx

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

Evaluate: (i) int(1)/(sqrt(x))(1+(1)/(x))dx (ii) int(x^(6)+1)/(x^(2)+1)dx

(i) int(tan^(-1))/((1+x^(2)))dx" "(ii) int(1)/(sqrt(1-x^(2)) sin^(-1)x)dx