I do not understand what method I can use to workout the following equation:

$\displaystyle

\int\frac{1}{e^{4x + 1}} dx

$

My first instinct was to say that $\displaystyle \frac{1}{4} ln e^{4x + 1}

$

However it is my understanding that ln e would cancel each other out. Thus the original equation would have only been 4x + 1, and the derivative of that is merely 4. So, I seem to be doing something wrong, what am I missing?