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

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

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

Let I_1=int_0^1 (dx)/(1+x^(1/3)) and I_2=int_0^1 (dx)/(1+x^(1/4)) then 4I_1+3I_2=

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

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

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

If I_(1)=int_(0)^(1) 2^(x^(2)) dx, I_(2)=int_(0)^(1) 2^(x^(3)) dx, I_(3)=int_(1)^(2) 2^(x^(2))dx and I_(4)=int_(1)^(2) 2^(x^(2))dx then

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((x+3))/(x+1)dx