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 3 of-x^2+2x+3

Solution

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

Solution

\frac{16}{3}

+1

Decimal

5.33333 \dots

Solution steps

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

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

\int_{1}^{3} 2 x d x = 8

\int_{1}^{3} 3 d x = 6

= - \frac{26}{3} + 8 + 6

Simplify

- \frac{26}{3} + 8 + 6 : \frac{16}{3}

= \frac{16}{3}

Graph

Popular Examples

integral from 6 to 7 of x^2-2x-24

\int_{6}^{7} x^{2} - 2 x - 24 d x

integral from 1 to 2 of (sqrt(ln(x)))/x

\int_{1}^{2} \frac{ln ( x )}{x} d x

integral from 3 to 6 of t^2ln(t)

\int_{3}^{6} t^{2} ln (t) d t

integral from-pi/3 to pi/3 of csc^2(x)

\int_{- \frac{π}{3}}^{\frac{π}{3}} csc^{2} (x) d x

integral from 3 to 8 of x/(sqrt(x+1))

\int_{3}^{8} \frac{x}{x + 1} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of-x^2+2x+3 ?
The integral from 1 to 3 of-x^2+2x+3 is 16/3