en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (5x+2)

Solution

\int (5 x + 2) d x

Solution

\frac{5 x ^{2}}{2} + 2 x + C

Solution steps

\int 5 x + 2 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 x d x + \int 2 d x

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 2 d x = 2 x

= \frac{5 x ^{2}}{2} + 2 x

Add a constant to the solution

= \frac{5 x ^{2}}{2} + 2 x + C

Popular Examples

y^{''}+8y^'+32y=0,y(0)=0,y^'(0)=0

y^{^{''}} + 8 y^{^{'}} + 32 y = 0, y (0) = 0, y^{^{'}} (0) = 0

integral of (-x)/(sqrt(1-x^2))

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

derivative of cxe^{-2x}

\frac{d}{d x} (c x e^{- 2 x})

derivative of (2sin(x)/x)

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

limit as x approaches 2 of (x^2-4)/(sqrt(x^2-3-1))

x \to 2 lim (\frac{x ^{2} - 4}{x ^{2} - 3 - 1})

Frequently Asked Questions (FAQ)

What is the integral of (5x+2) ?
The integral of (5x+2) is (5x^2)/2+2x+C