What is the integral of (sin(x))/(2x) ?

The integral of (sin(x))/(2x) is 1/2 \Si(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (sin(x))/(2x)

\int \frac{sin ( x )}{2 x} d x

\frac{1}{2} Si (x) + C

Solution steps

\int \frac{sin ( x )}{2 x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{2} \cdot \int \frac{sin ( x )}{x} d x

Use the nonelementary integral:

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

= \frac{1}{2} Si (x)

Add a constant to the solution

= \frac{1}{2} Si (x) + C

, x

f (1) = 9 + \frac{3}{x}

f (x) = 3 x + 8

\frac{d}{d x} (\frac{4 - x ^{2}}{3 x - 2})

y^{^{'}} = \frac{- 1}{x ^{2}}

What is the integral of (sin(x))/(2x) ?
The integral of (sin(x))/(2x) is 1/2 \Si(x)+C