en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 3 of x^3-6x

Solution

\int_{0}^{3} x^{3} - 6 x d x

Solution

- \frac{27}{4}

+1

Decimal

- 6.75

Solution steps

\int_{0}^{3} 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_{0}^{3} x^{3} d x - \int_{0}^{3} 6 x d x

\int_{0}^{3} x^{3} d x = \frac{81}{4}

\int_{0}^{3} 6 x d x = 27

= \frac{81}{4} - 27

Simplify

\frac{81}{4} - 27 : - \frac{27}{4}

= - \frac{27}{4}

Graph

Popular Examples

integral of e^{-x/(50)}

\int e^{- \frac{x}{50}} d x

y^{''}+20y^'+200y=150

y^{^{''}} + 20 y^{^{'}} + 200 y = 150

derivative of 5/(\sqrt[4]{x)}derivative of

\frac{5}{4 x}

(\partial)/(\partial x)(arcsin(4x))

\frac{\partial}{\partial x} (arcsin (4 x))

(\partial)/(\partial y)(x^2sin(y))

\frac{\partial}{\partial y} (x^{2} sin (y))

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x^3-6x ?
The integral from 0 to 3 of x^3-6x is -27/4