en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of-5x^2

Solution

integral

- 5 x^{2}

Solution

- \frac{5 x ^{3}}{3} + C

Solution steps

\int - 5 x^{2} d x

Take the constant out:

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

= - 5 \cdot \int x^{2} d x

Apply the Power Rule

= - 5 \cdot \frac{x ^{3}}{3}

Multiply fractions:

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

= - \frac{5 x ^{3}}{3}

Add a constant to the solution

= - \frac{5 x ^{3}}{3} + C

Graph

Popular Examples

integral of 1/((2x^2+6x-8))

integral of x(x-1)(x+1)

integral of 1/((x^2+0.75))

integral of 2(sin(x))^3+sin(x)+tan^5(x)

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

Frequently Asked Questions (FAQ)

What is the integral of-5x^2 ?
The integral of-5x^2 is -(5x^3)/3+C