en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (9-5x)

Solution

\int (9 - 5 x) d x

Solution

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

Solution steps

\int 9 - 5 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 5 x d x

\int 9 d x = 9 x

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

= 9 x - \frac{5 x ^{2}}{2}

Add a constant to the solution

= 9 x - \frac{5 x ^{2}}{2} + C

Graph

Popular Examples

(\partial)/(\partial x)(2x-6y^2-6)

integral of sec^2(2x)

integral of e^{2x^2+4}

(dy)/(dx)= 1/(2x(7-x))

Frequently Asked Questions (FAQ)

What is the integral of (9-5x) ?
The integral of (9-5x) is 9x-(5x^2)/2+C