en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-2 to 3 of x^3-4x

Solution

\int_{- 2}^{3} x^{3} - 4 x d x

Solution

\frac{25}{4}

+1

Decimal

6.25

Solution steps

\int_{- 2}^{3} x^{3} - 4 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_{- 2}^{3} x^{3} d x - \int_{- 2}^{3} 4 x d x

\int_{- 2}^{3} x^{3} d x = \frac{65}{4}

\int_{- 2}^{3} 4 x d x = 10

= \frac{65}{4} - 10

Simplify

\frac{65}{4} - 10 : \frac{25}{4}

= \frac{25}{4}

Graph

Popular Examples

integral from 0 to 2 of ye^{y^2}

\int_{0}^{2} y e^{y^{2}} d y

integral from 1 to cos(x) of (t+sin(t))

\int_{1}^{c o s (x)} (t + sin (t)) d t

integral from 0 to 3 of (r^2+z)r

\int_{0}^{3} (r^{2} + z) r d r

integral from-4 to 3 of-x-x^2+12

\int_{- 4}^{3} - x - x^{2} + 12 d x

integral from-3 to-1 of 2x(5-x^2)^3

\int_{- 3}^{- 1} 2 x (5 - x^{2})^{3} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of x^3-4x ?
The integral from-2 to 3 of x^3-4x is 25/4