What is the integral of cos(wx) ?

The integral of cos(wx) is 1/w sin(wx)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(wx)

\int cos (w x) d x

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

Solution steps

\int cos (w x) d x

Apply u-substitution

: \int \frac{cos ( u )}{w} d u

= \int \frac{cos ( u )}{w} d u

Take the constant out:

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

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

Use the common integral:

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

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

Substitute back

u = w x

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

Add a constant to the solution

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

x \frac{d y}{d x} = - 1.5 y

x \to + 0 lim (4 - x)

\frac{\partial}{\partial x} (x v - w)

\int 6 sin^{2} (x) cos (x) d x

\int \frac{1}{( x - 2 ) ( x + 4 )} d x