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+4x

Solution

\int_{1}^{3} x^{2} + 4 x d x

Solution

\frac{74}{3}

+1

Decimal Notation

24.66666 \dots

Solution steps

\int_{1}^{3} x^{2} + 4 x 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} 4 x d x

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

\int_{1}^{3} 4 x d x = 16

= \frac{26}{3} + 16

Simplify

\frac{26}{3} + 16 : \frac{74}{3}

= \frac{74}{3}

Popular Examples

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

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

integral from 16 to 20 of 0.005(20-x)

\int_{16}^{20} 0.005 (20 - x) d x

integral from 0 to x^3 of e^{-t+1}

\int_{0}^{x^{3}} e^{- t + 1} d t

integral from-1 to 1 of 1-|x|x

\int_{- 1}^{1} 1 - ∣ x ∣ x d x

integral from 0 to 2 of ((x-2)^2)/2

\int_{0}^{2} \frac{( x - 2 ) ^{2}}{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^2+4x ?
The integral from 1 to 3 of x^2+4x is 74/3