What is the integral of sin(x)*1/x ?

The integral of sin(x)*1/x is \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)*1/x

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

Si (x) + C

Solution steps

\int sin (x) \frac{1}{x} d x

Simplify

sin (x) \frac{1}{x} : \frac{sin ( x )}{x}

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

Use the nonelementary integral:

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

= Si (x)

Add a constant to the solution

= Si (x) + C

\int ln (- \frac{1}{5} x) d x

\int (sin (3 x) + cos (5 x)) d x

\int \frac{x ^{2} + 12 x + 9}{x ^{3} - 9 x} d x

\int 2 cos (\frac{π x}{2}) d x

\int (e^{x} + \frac{1}{7 x}) d x