en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 9-3x

Solution

\int 9 - 3 x d x

Solution

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

Solution steps

\int 9 - 3 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 9 d x - \int 3 x d x

\int 9 d x = 9 x

\int 3 x d x = \frac{3 x ^{2}}{2}

= 9 x - \frac{3 x ^{2}}{2}

Add a constant to the solution

= 9 x - \frac{3 x ^{2}}{2} + C

Graph

Popular Examples

limit as x approaches 6 of (|6-x|)/(6-x)

integral from 0 to pi/8 of tan(4x)

integral of arccos(1)

derivative of f(x)=(8x)/(x^2+1)

derivative of y=x^2ln(x^2)

Frequently Asked Questions (FAQ)

What is the integral of 9-3x ?
The integral of 9-3x is 9x-(3x^2)/2+C