VTRMC 2005 Problem 6

Compute $\int^1_0\left((e-1)\sqrt{\ln(1+ex-x)}+e^{x^2}\right)dx$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.