en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-6x^2

Solution

\int - 6 x^{2} d x

Solution

- 2 x^{3} + C

Solution steps

\int - 6 x^{2} d x

Take the constant out:

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

= - 6 \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= - 6 \cdot \frac{x ^{3}}{3}

Simplify

- 6 \cdot \frac{x ^{3}}{3} : - 2 x^{3}

= - 2 x^{3}

Add a constant to the solution

= - 2 x^{3} + C

Popular Examples

limit as x approaches infinity of (2e^{2x})/(2x)

x \to \infty lim (\frac{2 e ^{2 x}}{2 x})

limit as x approaches 0 of cos(9/x)

x \to 0 lim (cos (\frac{9}{x}))

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

\int + (x + \frac{1}{x}) (x - \frac{2}{x}) d x

derivative of cos(x-2)

\frac{d}{d x} (cos (x - 2))

\frac{d}{d t} (\frac{t}{3})

Frequently Asked Questions (FAQ)

What is the integral of-6x^2 ?
The integral of-6x^2 is -2x^3+C