# Integral of sin(x)/x =

#### HallsofIvy

MHF Helper
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

#### Drexel28

MHF Hall of Honor
Maybe $$\displaystyle \int_0^{\infty}\frac{\sin(x)}{x}dx$$?