What is the integral of 2/3 sin(x) ?

The integral of 2/3 sin(x) is -2/3 cos(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of 2/3 sin(x)

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

- \frac{2}{3} cos (x) + C

Solution steps

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

Take the constant out:

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

= \frac{2}{3} \cdot \int sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= \frac{2}{3} (- cos (x))

Simplify

= - \frac{2}{3} cos (x)

Add a constant to the solution

= - \frac{2}{3} cos (x) + C

\int \frac{3 x}{3 x ^{2} - 4} d x

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

\int x^{2} (e^{x^{3}}) d x

\int 2 t cos (t^{2}) d t

\int \frac{3 x ^{2}}{1 - 12 x ^{3}} d x

What is the integral of 2/3 sin(x) ?
The integral of 2/3 sin(x) is -2/3 cos(x)+C