en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (-4x^3)

Solution

\int (- 4 x^{3}) d x

Solution

- x^{4} + C

Solution steps

\int - 4 x^{3} d x

Take the constant out:

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

= - 4 \cdot \int x^{3} d x

Apply the Power Rule

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

Simplify

- 4 \cdot \frac{x ^{4}}{4} : - x^{4}

= - x^{4}

Add a constant to the solution

= - x^{4} + C

Graph

Popular Examples

limit as x approaches 0+of tan^x(9x)

limit as x approaches 0 of ((x+2)/x)^2-4

derivative of 2^{20}

integral of (10x+1)sqrt(5x^2+x)

integral of xe^{-y}

Frequently Asked Questions (FAQ)

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