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-5

Solution

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

Solution

\frac{20}{3}

+1

Decimal Notation

6.66666 \dots

Solution steps

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

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

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

\int_{1}^{3} 5 d x = 10

= \frac{26}{3} + 8 - 10

Simplify

\frac{26}{3} + 8 - 10 : \frac{20}{3}

= \frac{20}{3}

Popular Examples

integral from-infinity to 0 of 3/(9+x^2)

\int_{- \infty}^{0} \frac{3}{9 + x ^{2}} d x

integral from 0 to 1 of xy^2

\int_{0}^{1} x y^{2} d x

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

\int_{2}^{3} (x^{2} + x + 1) d x

integral from pi/6 to pi/4 of cos(2x)

\int_{\frac{π}{6}}^{\frac{π}{4}} cos (2 x) d x

integral from 0 to 1 of e^xsin(e^x)

\int_{0}^{1} e^{x} sin (e^{x}) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^2+2x-5 ?
The integral from 1 to 3 of x^2+2x-5 is 20/3