I taught Integration by Parts earlier than normal this year in #Calculus and one consequence was that a bunch of students used it to integrate
\[ \int \sin^3x \space \cos^2x \space dx \]
which was very surprising, but also very cool!
I taught Integration by Parts earlier than normal this year in #Calculus and one consequence was that a bunch of students used it to integrate
\[ \int \sin^3x \space \cos^2x \space dx \]
which was very surprising, but also very cool!
Here's a little math problem that breaks at least one problem solver and one LLM. It breaks them in the sense that they don't know how to solve it, which is marginally better than spewing out authoritative-looking nonsense.
\int \frac{e^{x}}{\sqrt{1-16e^{2x}}} dx
See the image for my solution.
Here's a little math problem that breaks at least one problem solver and one LLM. It breaks them in the sense that they don't know how to solve it, which is marginally better than spewing out authoritative-looking nonsense.
\int \frac{e^{x}}{\sqrt{1-16e^{2x}}} dx
See the image for my solution.
