What is the integral of cos(6x) ?

The integral of cos(6x) is 1/6 sin(6x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of cos(6x)

integral

cos (6 x)

\frac{1}{6} sin (6 x) + C

Solution steps

\int cos (6 x) d x

Apply u-substitution

= \int cos (u) \frac{1}{6} d u

Take the constant out:

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

= \frac{1}{6} \cdot \int cos (u) d u

Use the common integral:

\int cos (u) d u = sin (u)

= \frac{1}{6} sin (u)

Substitute back

u = 6 x

= \frac{1}{6} sin (6 x)

Add a constant to the solution

= \frac{1}{6} sin (6 x) + C