CIIM 2015 Problem 1

Find the real number $a$ such that the integral $\int_a^{a+8}e^{-x}e^{-x^2}dx$ attain its maximum.

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.