olymmath

Putnam 1985 B5

  • Session B

Evaluate ∫0∞t−1/2e−1985(t+t−1)dt\int_0^\infty t^{-1/2}e^{-1985(t+t^{-1})} dt. You may assume that ∫−∞∞e−x2dx=π\int_{-\infty}^\infty e^{-x^2} dx = \sqrt{\pi}.

Curated text Kedlaya Putnam archive. Quoted with source.

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