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 x^2+2x

Solution

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

Solution

\frac{16}{3}

+1

Decimal

5.33333 \dots

Solution steps

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

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

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

= \frac{7}{3} + 3

Simplify

\frac{7}{3} + 3 : \frac{16}{3}

= \frac{16}{3}

Graph

Popular Examples

integral from 0 to pi of sin(5x)

\int_{0}^{π} sin (5 x) d x

tangent of y=(x^3-16x)^{12}tangent of

y = (x^{3} - 16 x)^{12}

tangent of 5x-2x^2 tangent of

5 x - 2 x^{2}

limit as x approaches-5-of (x+5)/(x+5)

x \to - 5 - lim (\frac{x + 5}{x + 5})

integral from 6 to 7 of 1/(x^2-1)

\int_{6}^{7} \frac{1}{x ^{2} - 1} d x

Frequently Asked Questions (FAQ)

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