en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-4x^2

Solution

\int - 4 x^{2} d x

Solution

- \frac{4 x ^{3}}{3} + C

Solution steps

\int - 4 x^{2} d x

Take the constant out:

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

= - 4 \cdot \int x^{2} d x

Apply the Power Rule

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

= - 4 \cdot \frac{x ^{3}}{3}

Multiply fractions:

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

= - \frac{4 x ^{3}}{3}

Add a constant to the solution

= - \frac{4 x ^{3}}{3} + C

Graph

Popular Examples

derivative of log_{10}(sqrt(x))

\frac{d}{d x} (lo g_{10} (x))

f(x)=4e^xcos(x)

f (x) = 4 e^{x} cos (x)

integral of 1/((ax+b))

\int \frac{1}{( a x + b )} d x

derivative of e^{x^2}+5x^2 derivative of

e^{x^{2}} + 5 x^{2}

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

\int \frac{- x ^{2} + x}{x ^{4}} d x

Frequently Asked Questions (FAQ)

What is the integral of-4x^2 ?
The integral of-4x^2 is -(4x^3)/3+C