Question

\[Integrate = \int\limits_{e}^{e ^{3}} \frac{dx}{x}\]

Answer 1

first step...what is the integral of dx/x?

Answer 2

\[\int\limits \frac{1}{x} dx => \ln(x) +C\]its a standard integral..
then sub in the limits.

Answer 3

what is the \[\ln e\]??? and \[\ln e ^{3}\]???

Answer 4

\[\large \left[\ln(x)\right] _{e}^{e^{2}} => \ln(e^{2} )- \ln(e)\]
you can use log laws to simplify it.. howeber, \(ln(e)=1\)

Answer 5

ok thanks @Mimi_x3 i got the answer. :)

Answer 6

np