0
$\begingroup$

How do i solve this one using exponential function? should i bring up x^2? $$\int\frac{2^{\frac{1}{x}}}{x^2}dx$$

  • 0
    U-subsitution is a nice way to proceed, do you see anything in the integrand that would be useful to set equal to u?2017-01-11

1 Answers 1

0

$$t=(1/x)$$,$$-dt=\frac{dx}{x^2}$$$$\int2^tdt=\frac{2^t}{\ln2} +C$$

  • 0
    why the derivative of t become negative? and became x^2?2017-01-11
  • 0
    $t=x^{-1}$ now differentiate it $dt=-x^{-2}dx$2017-01-11