# How do you integrate #ln(5x+3)#?

##### 2 Answers

Edit: I misread the question- I didn't integrate, I differentiated.

**Answer**

**Solution**

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.

We have

Now we can do the chain rule. We know that the derivative of

So the final answer is:

Let

Integrate by parts:

Therefore,