en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from 1 to 3 of x^2-x

Solution

\int_{1}^{3} x^{2} - x d x

Solution

\frac{14}{3}

+1

Decimal

4.66666 \dots

Solution steps

\int_{1}^{3} x^{2} - 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_{1}^{3} x^{2} d x - \int_{1}^{3} x d x

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} x d x = 4

= \frac{26}{3} - 4

Simplify

\frac{26}{3} - 4 : \frac{14}{3}

= \frac{14}{3}

Graph

Popular Examples

integral from 0 to 1 of 2xcos(npix)

integral from 1 to e^3 of (6ln(x))/x

integral from 0 to 1 of (3x^2-2x+1)

integral from 2 to 4 of 4x^2

integral from 1/3 to 5 of sqrt(1+36x)

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^2-x ?
The integral from 1 to 3 of x^2-x is 14/3