What is the integral of cos(1/10 x) ?

The integral of cos(1/10 x) is 10sin(1/10 x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(1/10 x)

\int cos (\frac{1}{10} x) d x

10 sin (\frac{1}{10} x) + C

Solution steps

\int cos (\frac{1}{10} x) 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{1}{10} x

= 10 sin (\frac{1}{10} x)

Add a constant to the solution

= 10 sin (\frac{1}{10} x) + C

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

\int \frac{1}{0} d x

\int - 2 y sin^{2} (y) d y

\int \frac{4}{3} x^{\frac{1}{2}} ln (x) d x

\int sin (4 x) sin (5 x) d x

What is the integral of cos(1/10 x) ?
The integral of cos(1/10 x) is 10sin(1/10 x)+C