nice-calculus-prove-that-0-sin-2arctan-x-2-x-2-2-2-sinh-pix-dx-7-8-pi-2-12-

Question Number 132301 by mnjuly1970 last updated on 13/Feb/21

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

p r o v e t h a t ::

\int_{0}^{\infty} \frac{s i n (2 a r c t a n (\frac{x}{2}))}{(x^{2} + 2^{2}) s i n h (π x)} d x = \frac{7}{8} - \frac{π^{2}}{12}