en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of x-3

Solution

integral

x - 3

Solution

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

Solution steps

\int x - 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 x d x - \int 3 d x

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

\int 3 d x = 3 x

= \frac{x ^{2}}{2} - 3 x

Add a constant to the solution

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

Graph

Popular Examples

integral of ((1-tan^2(x)))/(sec^2(x))

in t e g r a l \frac{( 1 - tan ^{2} ( x ) )}{sec ^{2} ( x )}

integral of 1.3^x

in t e g r a l 1. 3^{x}

integral of (3x)/((x^2+4x+6))

in t e g r a l \frac{3 x}{( x ^{2} + 4 x + 6 )}

integral of ((2x))/((4+3x)^2)

in t e g r a l \frac{( 2 x )}{( 4 + 3 x ) ^{2}}

integral of ((1-cos(x))^2)/(sin^2(x))

in t e g r a l \frac{( 1 - cos ( x ) ) ^{2}}{sin ^{2} ( x )}

Frequently Asked Questions (FAQ)

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