What is the integral of 5*sin(x) ?

The integral of 5*sin(x) is -5cos(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5*sin(x)

\int 5 \cdot sin (x) d x

- 5 cos (x) + C

Solution steps

\int 5 sin (x) d x

Take the constant out:

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

= 5 \cdot \int sin (x) d x

Use the common integral:

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

= 5 (- cos (x))

Simplify

= - 5 cos (x)

Add a constant to the solution

= - 5 cos (x) + C

(x^{2} + 1) \frac{d y}{d x} + 8 x (y - 1) = 0, y (0) = 2

\int \frac{1}{8 - x ^{2}} d x

x^{2} - 4 x + 6

\int \frac{1}{y ^{\frac{11}{5}}} d y

\frac{d}{d x} (\frac{x ^{2} y ^{2}}{2})