What is the integral of-8sin(x) ?

The integral of-8sin(x) is 8cos(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-8sin(x)

\int - 8 sin (x) d x

8 cos (x) + C

Solution steps

\int - 8 sin (x) d x

Take the constant out:

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

= - 8 \cdot \int sin (x) d x

Use the common integral:

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

= - 8 (- cos (x))

Simplify

= 8 cos (x)

Add a constant to the solution

= 8 cos (x) + C

\int \frac{x ^{2} - x + 8}{x ^{3} + 2 x} d x

\int (x + 1) (3 x + 2) d x

f (x) = x^{3} - 12 x

\int (\frac{3}{5}) cos (x) d x

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