### My Calculus Class Is So Fabulous

OK, there will be a follow-up on this later once I'm done grading the final and I'm ready to do some scanning. All is not roses.

But! But! But! Some of my students are super-fantastic! And clever!

One of the problems on the final asked them to integrate arctan(

However! Some of them did not realize that was how to do the problem. So they used the geometric series to find the series expansion for 1/(1 +

But! But! But! Some of my students are super-fantastic! And clever!

One of the problems on the final asked them to integrate arctan(

*x*). What I expected them to do was to use integration by parts.However! Some of them did not realize that was how to do the problem. So they used the geometric series to find the series expansion for 1/(1 +

*x*^{2}), integrated that to get a series for the arctangent, and then integrated*that*to get an answer.