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

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- Aug 27th 2010, 06:53 PMRedSwissimproper integral of (2^(ln(n)))^-1
I don't understand how they get this boxed in quantity (shown in attachment)

- Aug 27th 2010, 07:06 PMProve It
$\displaystyle \int{\frac{dx}{x^{\ln{2}}}} = \int{x^{-\ln{2}}\,dx}$

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

which gives you the required stuff inside the box. - Aug 27th 2010, 07:09 PMRedSwiss
is this some linearity of limits trick?

- Aug 27th 2010, 07:20 PMRedSwissfurthermore
can someone tell me why 1^(1-ln(2)) = 1 ????

- Aug 27th 2010, 07:23 PMProve It
Because 1 to the power of anything is 1.