MathDB

B5

Part of 1985 Putnam

Problems(1)

Putnam 1985 B5

Source:

8/5/2019
Evaluate ∫0∞t−1/2e−1985(t+t−1)dt.\textstyle\int_{0}^{\infty} t^{-1 / 2} e^{-1985\left(t+t^{-1}\right)} d t. You may assume that ∫−∞∞e−x2dx=π.\textstyle\int_{-\infty}^{\infty} e^{-x^{2}} d x=\sqrt{\pi}.
Putnam