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^2

Solution

\int - 9 x^{2} d x

Solution

- 3 x^{3} + C

Solution steps

\int - 9 x^{2} d x

Take the constant out:

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

= - 9 \cdot \int x^{2} d x

Apply the Power Rule

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

Simplify

- 9 \cdot \frac{x ^{3}}{3} : - 3 x^{3}

= - 3 x^{3}

Add a constant to the solution

= - 3 x^{3} + C

Graph

Popular Examples

integral of x-1/3

integral of e^{4x}cos(-1x)

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

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

integral of atln(t+b)

Frequently Asked Questions (FAQ)

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