TeX:
\int_{0}^{\pi / 2} \frac{x}{\operatorname{sinc}(x)} \, dx = 2 \pi G - \frac{7 \zeta\!\left(3\right)}{2}
Definitions:
Fungrim symbol | Notation | Short description |
---|---|---|
Integral | Integral | |
Sinc | Sinc function | |
Pi | The constant pi (3.14...) | |
ConstCatalan | Catalan's constant | |
RiemannZeta | Riemann zeta function |
Source code for this entry:
Entry(ID("4a5b9a"), Formula(Equal(Integral(Div(x, Sinc(x)), For(x, 0, Div(Pi, 2))), Sub(Mul(Mul(2, Pi), ConstCatalan), Div(Mul(7, RiemannZeta(3)), 2)))))