What is the integral of cos(x/(10)) ?

The integral of cos(x/(10)) is 10sin(x/(10))+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/(10))

\int cos (\frac{x}{10}) d x

10 sin (\frac{x}{10}) + C

Solution steps

\int cos (\frac{x}{10}) d x

Apply u-substitution

: \int cos (u) \cdot 10 d u

= \int cos (u) \cdot 10 d u

Take the constant out:

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

= 10 \cdot \int cos (u) d u

Use the common integral:

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

= 10 sin (u)

Substitute back

u = \frac{x}{10}

= 10 sin (\frac{x}{10})

Add a constant to the solution

= 10 sin (\frac{x}{10}) + C

\int tan^{3} (x) (sec (x)) d x

\int \frac{( sin ( x ) ) ^{3}}{( cos ( x ) ) ^{2}} d x

\int - cos (x) (e^{- x}) d x

\int x e^{x} + 2 d x

\int \frac{20}{x ^{3}} d x

What is the integral of cos(x/(10)) ?
The integral of cos(x/(10)) is 10sin(x/(10))+C