Question

Integrate (2^Ln(1/x)) / (x), with respect to x. @Calculus1

Answer 1

\[\int\limits_{}^{}\frac{2^{\ln(\frac{1}{x})}}{x} dx\]?

Answer 2

yep

Answer 3

let u=ln(1/x)=ln(1)-ln(x)=-ln(x)
du=-1/x dx

Answer 4

okay

Answer 5

\[\int\limits{\frac{2^{\ln(\frac{1}{x})}}{x}}dx\] let u=ln(1/x)
du=-1/x dx

\[\int\limits{-2^udu} = \frac{-2^u}{\ln(2)}\]
\[=\frac{-2^{\ln(\frac{1}{x})}}{\ln2}\]

Answer 6

\[\int\limits_{}^{} 2^u (-du)\]