MathDB
Putnam 2000 A4

Source:

September 6, 2011
Putnamcalculusintegrationlimittrigonometryfunctioncollege contests

Problem Statement

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