Problem 3 solution

With a little bit of ingenuity, this problem can easily be solved. I can't recall any sort of rules to follow when trying to integrate this sort of function, but we can rewrite it using properties of logarithms.

Looks familiar right? Now we can rewrite the integral like this:

To help out more, we can move the ln(3) outside of the integral since it's a constant. Now all we really need to do is think about how to integrate ln(x).

In order to integrate ln(x), we need to use the integration by parts formula. 

 Now we can use the integration by parts formula to rewrite it as follows:

Simplify it and this is what you get:

Well, that took a bit of creativity, but it was totally doable.