en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

\frac{5}{6}

+1

Decimal

0.83333 \dots

Solution steps

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

\int_{1}^{2} x^{2} d x = \frac{7}{3}

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

= \frac{7}{3} - \frac{3}{2}

Simplify

\frac{7}{3} - \frac{3}{2} : \frac{5}{6}

= \frac{5}{6}

Graph

Popular Examples

derivative of tan(sqrt(1+x^3))

\frac{d}{d x} (tan (1 + x^{3}))

integral from 1 to 2 of (13)/(x^3+5x)

\int_{1}^{2} \frac{13}{x ^{3} + 5 x} d x

integral of 12-3x^2

\int 12 - 3 x^{2} d x

integral of (3-2t+t^2)

\int (3 - 2 t + t^{2}) d t

integral of (sin(x))/(5+cos(x))

\int \frac{sin ( x )}{5 + cos ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (x^2-x) ?
The integral from 1 to 2 of (x^2-x) is 5/6