# College Math Teaching

## October 15, 2013

### What do you mean “you don’t know”???

Filed under: calculus, integrals, student learning — Tags: — collegemathteaching @ 6:38 pm

I am grading calculus II exams and the above photo looks a bit like me. I’ll calm down before I hand the exams back to the students.

But I swear: I had one student DURING THE EXAM say “hey, you can’t do $\int^1_{\frac{1}{2}} \frac{1}{x} dx$ because $\frac{1}{x} = x^{-1}$ and $x^{-1+1} \frac{1}{-1+1}$ is undefined. Yes, this person passed calculus I and yes, we did that integral in calculus I (some schools hold off and develop $ln(x) = \int^x_1 \frac{1}{t} dt$ using the Fundamental Theorem of Calculus). And yes, previously THIS SEMESTER we did integrals like $\int \frac{1}{(x-1)(x+1)} dx$.

(facepalm).