# Math Help - improper integral of (2^(ln(n)))^-1

1. ## improper integral of (2^(ln(n)))^-1

I don't understand how they get this boxed in quantity (shown in attachment)

2. $\int{\frac{dx}{x^{\ln{2}}}} = \int{x^{-\ln{2}}\,dx}$

$= \frac{x^{-\ln{2} + 1}}{-\ln{2} + 1}$

which gives you the required stuff inside the box.

3. is this some linearity of limits trick?

4. ## furthermore

can someone tell me why 1^(1-ln(2)) = 1 ????

5. Because 1 to the power of anything is 1.