Evaluate :

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

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

Evaluate : I= "int(x^2)/((x^(3)-1))dx

Evaluate I=int(dx)/(2x(1-x)) .

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

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

Evaluate: (i) int(1)/(x)(log x)^(2)dx (ii) int sin^(5)x cos xdx

Evaluate: (i) int(sin2x)/((a+b cos2x)^(2))dx (ii) int(log x^(2))/(x)dx

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