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 1 of (x^2+5)

Solution

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

Solution

\frac{32}{3}

+1

Decimal Notation

10.66666 \dots

Solution steps

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

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

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

= \frac{2}{3} + 10

Simplify

\frac{2}{3} + 10 : \frac{32}{3}

= \frac{32}{3}

Popular Examples

integral from 0 to 2 of 2ye^{y^2}

\int_{0}^{2} 2 y e^{y^{2}} d y

integral from 0 to 2pi of cos^2(u)

\int_{0}^{2 π} cos^{2} (u) d u

integral from 2 to 4 of xln(sqrt(x))

\int_{2}^{4} x ln (x) d x

integral from 0 to 4 of sqrt(xy)

\int_{0}^{4} x y d x

integral from 0 to 1 of ln(x+2)

\int_{0}^{1} ln (x + 2) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of (x^2+5) ?
The integral from-1 to 1 of (x^2+5) is 32/3