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{25}{6}

+1

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{25}{6}

= \frac{25}{6}

Popular Examples

integral from 0 to 1 of sqrt(2+1/(4x))

\int_{0}^{1} 2 + \frac{1}{4 x} d x

integral from 0 to 1 of cos(θ)

\int_{0}^{1} cos (θ) d θ

integral from 0 to pi of sin(9x)sin(7x)

\int_{0}^{π} sin (9 x) sin (7 x) d x

integral from 0 to infinity of 4x

\int_{0}^{\infty} 4 x d x

integral from 2 to 3 of e^t

\int_{2}^{3} e^{t} d t

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 25/6