Integral of sin(x)/x =

HallsofIvy

MHF Helper
Apr 2005
20,249
7,909
Okay, \(\displaystyle \int \frac{sin x}{x} dx= Si(x)+ C\).

sin(x)/x, the "sinc function", cannot be integrated in terms of elementary functions- Si(x) is the "sine integral" function and is defined to be \(\displaystyle \int \frac{sin x}{x}dx\). See Sinc function - Wikipedia, the free encyclopedia