What is the integral from 0 to pi/2 of (sin(x))/x ?

The integral from 0 to pi/2 of (sin(x))/x is \Si(pi/2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to pi/2 of (sin(x))/x

\int_{0}^{\frac{π}{2}} \frac{sin ( x )}{x} d x

Si (\frac{π}{2})

Solution steps

\int_{0}^{\frac{π}{2}} \frac{sin ( x )}{x} d x

Use the nonelementary integral:

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

= [Si (x)]_{0}^{\frac{π}{2}}

Compute the boundaries:

Si (\frac{π}{2})

= Si (\frac{π}{2})

\int_{0}^{\frac{5}{6}} \frac{1}{36 x ^{2} + 25} d x

\int_{0}^{\frac{π}{2}} cos^{3} (θ) d θ

\int_{1}^{3} \frac{x}{4 - x ^{2}} d x

\int_{- 1}^{2} (x^{3} - 6 x) d x

\int_{0}^{2} (x^{3} - 4 x + 3) d x

What is the integral from 0 to pi/2 of (sin(x))/x ?
The integral from 0 to pi/2 of (sin(x))/x is \Si(pi/2)