en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-3x^4

Solution

\int - 3 x^{4} d x

Solution

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

Solution steps

\int - 3 x^{4} d x

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{5}}{5}

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of (2x-1/(x+9))

\frac{d}{d x} (\frac{2 x - 1}{x + 9})

area (x-1)^3,x-1,0,1 area

(x - 1)^{3}, x - 1, 0, 1

integral from 0 to 2 of 2piy(4-y^2)

\int_{0}^{2} 2 π y (4 - y^{2}) d y

derivative of (x+1/(x-2))

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

integral of 3/(x^6)

\int \frac{3}{x ^{6}} d x

Frequently Asked Questions (FAQ)

What is the integral of-3x^4 ?
The integral of-3x^4 is -(3x^5)/5+C