What is the integral from 0 to pi of (sin(x))/x ?

The integral from 0 to pi of (sin(x))/x is \Si(pi)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to pi of (sin(x))/x

\int_{0}^{π} \frac{sin ( x )}{x} d x

Si (π)

Solution steps

\int_{0}^{π} \frac{sin ( x )}{x} d x

Use the nonelementary integral:

\int \frac{sin ( x )}{x} d x = Si (x)

= [Si (x)]_{0}^{π}

Compute the boundaries:

Si (π)

= Si (π)

What is the integral from 0 to pi of (sin(x))/x ?
The integral from 0 to pi of (sin(x))/x is \Si(pi)