en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^3-6x

Solution

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

Solution

\frac{x ^{4}}{4} - 3 x^{2} + C

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{3} d x - \int 6 x d x

\int x^{3} d x = \frac{x ^{4}}{4}

\int 6 x d x = 3 x^{2}

= \frac{x ^{4}}{4} - 3 x^{2}

Add a constant to the solution

= \frac{x ^{4}}{4} - 3 x^{2} + C

Popular Examples

(x^{4} e^{- x})^{^{'}}

(\partial)/(\partial x)(4x-3x^4y^2)

\frac{\partial}{\partial x} (4 x - 3 x^{4} y^{2})

integral of (t^5)/(sqrt(t^2+2))

\int \frac{t ^{5}}{t ^{2} + 2} d t

integral of 1/(y^{3/2)}

\int \frac{1}{y ^{\frac{3}{2}}} d y

derivative of e^{1-x^2}derivative of

e^{1 - x^{2}}

Frequently Asked Questions (FAQ)

What is the integral of x^3-6x ?
The integral of x^3-6x is (x^4)/4-3x^2+C