How do you integrate #ln(5x+3)#?
Edit: I misread the question- I didn't integrate, I differentiated.
You would do this using the chain rule.
The chain rule, in words, basically just means:
the derivative of the outer function(leaving the inner function alone, or treating it as a single variable) X the derivative of the inner function
Here, seeing the "outer" and "inner" functions is pretty straightforward.
Now we can do the chain rule. We know that the derivative of
So the final answer is:
Integrate by parts: