en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x/2+3

Solution

\int \frac{x}{2} + 3 d x

Solution

\frac{x ^{2}}{4} + 3 x + C

Solution steps

\int \frac{x}{2} + 3 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 \frac{x}{2} d x + \int 3 d x

\int \frac{x}{2} d x = \frac{x ^{2}}{4}

\int 3 d x = 3 x

= \frac{x ^{2}}{4} + 3 x

Add a constant to the solution

= \frac{x ^{2}}{4} + 3 x + C

Graph

Popular Examples

derivative of (x^2-9/(x+3))

\frac{d}{d x} (\frac{x ^{2} - 9}{x + 3})

derivative of 7x*sin(x)+x^2*e^x derivative of

7 x \cdot sin (x) + x^{2} \cdot e^{x}

derivative of 1/(3x^2-5/(2x))

\frac{d}{d x} (\frac{1}{3 x ^{2}} - \frac{5}{2 x})

x^2y^'-4xy=sin(2x)x^6

x^{2} y^{^{'}} - 4 x y = sin (2 x) x^{6}

derivative of sqrt(a+bx)

\frac{d}{d x} (a + b x)

Frequently Asked Questions (FAQ)

What is the integral of x/2+3 ?
The integral of x/2+3 is (x^2)/4+3x+C