olymmath

Putnam 2000 A4

  • Session A

Show that the improper integral lim⁡B→∞∫0Bsin⁡(x)sin⁡(x2)dx\lim_{B\to\infty}\int_{0}^B \sin(x) \sin(x^2) dx converges.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Manjul Bhargava, Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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