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+4

Solution

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

Solution

\frac{22}{3}

+1

Decimal Notation

7.33333 \dots

Solution steps

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

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

\int_{- 1}^{1} 4 d x = 8

= - \frac{2}{3} + 8

Simplify

- \frac{2}{3} + 8 : \frac{22}{3}

= \frac{22}{3}

Popular Examples

integral from 0 to 1 of 10ln(x)

\int_{0}^{1} 10 ln (x) d x

integral from 1 to 3 of 1/(2x-1)

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

integral from-7 to 0 of (y/7+sqrt(y+8))

\int_{- 7}^{0} (\frac{y}{7} + y + 8) d y

integral from 0 to 2 of (3x^2+5x)

\int_{0}^{2} (3 x^{2} + 5 x) d x

integral from 0 to t of sin(w(t-x))

\int_{0}^{t} sin (w (t - x)) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of-x^2+4 ?
The integral from-1 to 1 of-x^2+4 is 22/3