2.Find `I=int x^(2)(1-(1)/(x^(2)))dx`

Evaluate: (i) int e^(x)((1)/(x)-(1)/(x^(2)))dx (ii) int e^(x)(sin x+cos x)dx

I=int(1-x^(2))/(x(1-2x))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)/(a^(2)x^(2)-b^(2))dx (ii) int(x^(2)-1)/(x^(2)+4)dx

Evaluate: int_(1)^(2)(1)/((x+1)(x+2))dx( ii) int_(1)^(2)(1)/(x(1+x^(2)))dx

Evaluate : "int((x^(2)-x+1))/((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) int((sin(log x))/(x)dx (ii) int(e^(m)tan(-1)x)/(1+x^(2))dx

Evaluate : (i) int_(0)^(2)e^(x//2)dx (ii) int_(2)^(4)(x)/((x^(2)+1))dx (iii) int_(0)^(1)cos^(-1)xdx

Evaluate: (i) int((x^(3) + 4x^(2) -3x -2))/((x+2)) dx , (ii) int((x^(4) +1)/(x^(2) +1))dx