What is the integral of cos(x/6) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(x/6)

\int cos (\frac{x}{6}) d x

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

Solution steps

\int cos (\frac{x}{6}) d x

Apply u-substitution

: \int cos (u) \cdot 6 d u

= \int cos (u) \cdot 6 d u

Take the constant out:

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

= 6 \cdot \int cos (u) d u

Use the common integral:

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

= 6 sin (u)

Substitute back

u = \frac{x}{6}

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

Add a constant to the solution

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

\int cot^{5} (3 y) d y

\int \frac{2}{x ^{2} x ^{2} - 1} d x

\int (a^{2} - x^{2})^{3} d x

\int \frac{1}{3 x ^{2} + 27 x} d x

\int sec^{2} (x) e^{5 t a n (x)} d x