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 2 of x^2-3x+2

Solution

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

Solution

- \frac{1}{6}

+1

Decimal

- 0.16666 \dots

Solution steps

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

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

\int_{1}^{2} 3 x d x = \frac{9}{2}

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

= \frac{7}{3} - \frac{9}{2} + 2

Simplify

\frac{7}{3} - \frac{9}{2} + 2 : - \frac{1}{6}

= - \frac{1}{6}

Graph

Popular Examples

derivative of e^{2ln(3x})

laplacetransform 6y

limit as x approaches 2 of (3x)/(x-2)

derivative of tan(2x+3)

limit as x approaches 0 of 3-7x-5x^2

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^2-3x+2 ?
The integral from 1 to 2 of x^2-3x+2 is -1/6