Random thought: are there integrals and/or differential equations that are hard to approximate, but that could be easily approximated given the ability to efficiently simulate quantum physics (as seen by the fact that they are used to describe quantum physics)? (I expect the answer is yes.) If so, could they be generalized to new quantum algorithms for solving integrals/equations that would also be of purely mathematical interest? (I expect the answer is ... *maybe*?) Would we be able to even *recognize* such instances? Or is that, too, a BQP-complete (or, God forbid, QMA-complete) task? Inspired by a random sentence in [this blog post](https://4gravitons.com/2023/08/18/amplitudes-2023-retrospective/).