en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from-2 to 2 of x^2+1

Solution

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

Solution

\frac{28}{3}

+1

Decimal

9.33333 \dots

Solution steps

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

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

\int_{- 2}^{2} 1 d x = 4

= \frac{16}{3} + 4

Simplify

\frac{16}{3} + 4 : \frac{28}{3}

= \frac{28}{3}

Graph

Popular Examples

derivative of 8x^{-1}

derivative of f(x)=x^{-2/5}

derivative of (e^x(x+xsqrt(x)))

limit as x approaches 1 of 2x^2-5x+1

integral of (x^2)/(x^2+25)

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of x^2+1 ?
The integral from-2 to 2 of x^2+1 is 28/3