olymmath

Putnam 1969 A4

  • Session A

Show that ∫01xxdx=∑n=1∞(−1)n+1nn.\int_{0}^{1} x^{x} dx = \sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n^n }.

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.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator putnam/1969/a4 · Tag 3R063JVRES · Edit this page on GitHub · Keys: j next, k previous