en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (9x)

Solution

\int (9 x) d x

Solution

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

Solution steps

\int 9 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 9 \cdot \int x d x

Apply the Power Rule

= 9 \cdot \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 8/t

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

integral of (3x+5)/((x+1)(x-1)^2)

integral of 1/(sqrt(20+x^2))

integral of y^4ln(sqrt(y))

Frequently Asked Questions (FAQ)

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