What is the integral of 2+2sin(x) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2+2sin(x)

\int 2 + 2 sin (x) d x

2 x - 2 cos (x) + C

Solution steps

\int 2 + 2 sin (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2 d x + \int 2 sin (x) d x

\int 2 d x = 2 x

\int 2 sin (x) d x = - 2 cos (x)

= 2 x - 2 cos (x)

Add a constant to the solution

= 2 x - 2 cos (x) + C

y = 4 x sin (x), (\frac{π}{2}, 2 π)

(x y + 2 y) d x + (3 x) d y = 0

x^{2} + 3 x

\frac{d ^{2} y}{d t ^{2}} - 2 \frac{d y}{d t} - 8 y = 0

\frac{d}{d x} ((x^{3} + 2 x - 5)^{2})