en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5+cos(x)

Solution

\int 5 + cos (x) d x

Solution

5 x + sin (x) + C

Solution steps

\int 5 + cos (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 5 d x + \int cos (x) d x

\int 5 d x = 5 x

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

= 5 x + sin (x)

Add a constant to the solution

= 5 x + sin (x) + C

Popular Examples

32y^{''}+20y^'-3y=0

32 y^{^{''}} + 20 y^{^{'}} - 3 y = 0

integral of 5e^u

\int 5 e^{u} d u

derivative of pix^2 derivative of

π x^{2}

integral of-3/((x^2+3)^{3/2)}

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

integral of (6x+7)

\int (6 x + 7) d x

Frequently Asked Questions (FAQ)

What is the integral of 5+cos(x) ?
The integral of 5+cos(x) is 5x+sin(x)+C