If I = `int_3^4 1/(log x)^(1/3) dx`, then

int_(1)^(3)(log x)^2/(x)dx

int (dx)/(x(1+log x)^(3))=

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

int(log x)^(3)x^(4)dx

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, I_(4) = int_1^(2) 2^(x^(3)) dx then,

int x^(4)(1+log x)dx

int (1)/(x (2 +3 log x )) dx =