How do you find the integral of #f(x) = arctan(x)# ?
Integration by parts is a good place to start.
We need to choose a function u that is easily differentiated, and a function v that is easily antidifferentiated. For this, let's choose
Now, we simply substitute these values in to our formula:
From here, we can antidifferentiate the far right-hand term quite easily, and come up with an answer.