` int (3x+5)/((x+1)(x-1)^2) dx`

int(3x+1)/((x+2)(x-2)^(2))dx

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

int(3x)/((x-1)(x-2)(x-3))dx

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

int(3x-1)/((x+1)(x+5))dx

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

int(x^(3)+5)/((x-5)^(3)(x-1))dx

Evaluate int (3x^2+4x-5)/((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

int(x^(5)+2)/(x+1)dx