Any time there's a question of "what are the expected value of the max eigenvalue for a random matrix from such and such a distribution" I can answer it in 5 minutes with matlab and ChatGPT (and I know I can answer it). Making a animated GIF with successive approximation of a function by Fourier transform, no problem. Integrating by parts with hyperbolic functions in it? so slow, I'm googling the quadratic formula while the kids are yelling out the integration steps in real time.