Integratation need help

1. Sep 11, 2010

natanael

$$\int \frac{\sin x}{x }dx$$

Last edited: Sep 11, 2010
2. Sep 11, 2010

HallsofIvy

Staff Emeritus
Re: integratation

That anti-derivative cannot be written in terms of elementary functions. It can be written easily in terms of the "sine integral" function, Si(x):
$$\int \frac {sin(x)}{x} dx= Si(x)$$
because that is exactly how Si(x) is defined!