nice-calculus-prove-that-0-sin-x-2-sin-x-2-dx-1-4-pi-2-e-2-sin-2-cos-2-

Question Number 128567 by mnjuly1970 last updated on 08/Jan/21

\dots n i c e c a l c u l u s \dots

p r o v e t h a t ::::

ϕ = \int_{0}^{\infty} s i n (x^{2}) s i n (x^{- 2}) d x

= \frac{1}{4} \sqrt{\frac{π}{2}} (e^{- 2} + s i n (2) - c o s (2))