Question

this should be my last question

integral of [1/(y lny)]dy

Answer 1

\[\int\frac{dy}{y\ln{y}}=\int\frac{d(\ln{y})}{\ln{y}}=\ln{\ln{y}}+C\]

Answer 2

wait, what happened?

Answer 3

\[\text{Let }u=\ln(y)\]

\[du=\frac{1}{y}dy\]

\[\int \frac{1}{y\ln(y)}dy=\int\frac{1}{u}du=\ln|u|+c=\ln|\ln(y)|+c\]