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 3x-x^2-2

Solution

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

Solution

\frac{1}{6}

+1

Decimal

0.16666 \dots

Solution steps

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

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

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

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

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

Simplify

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

= \frac{1}{6}

Graph

Popular Examples

integral from 6.1 to 7.2 of 12x^2-6x+4

\int_{6.1}^{7.2} 12 x^{2} - 6 x + 4 d x

integral from 0 to 1 of sqrt(9x^2+144)

\int_{0}^{1} 9 x^{2} + 144 d x

integral from 0 to 1 of x*4x^3

\int_{0}^{1} x \cdot 4 x^{3} d x

integral from 0 to 2 of x^8

\int_{0}^{2} x^{8} d x

integral from 0 to ln(2) of sinh(x)

\int_{0}^{l n (2)} sinh (x) d x

Frequently Asked Questions (FAQ)

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