de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from-2 to 2 of-2x^2+8

Lösung

\int_{- 2}^{2} - 2 x^{2} + 8 d x

Lösung

\frac{64}{3}

+1

Dezimale

21.33333 \dots

Schritte zur Lösung

\int_{- 2}^{2} - 2 x^{2} + 8 d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int_{- 2}^{2} 2 x^{2} d x + \int_{- 2}^{2} 8 d x

\int_{- 2}^{2} 2 x^{2} d x = \frac{32}{3}

\int_{- 2}^{2} 8 d x = 32

= - \frac{32}{3} + 32

Vereinfache

- \frac{32}{3} + 32 : \frac{64}{3}

= \frac{64}{3}

Graph

Beliebte Beispiele

derivative f(x)=(-2)/(x^2)

d er i v a t i v e f (x) = \frac{- 2}{x ^{2}}

derivative 1/(x^2+18x+88)

d er i v a t i v e \frac{1}{x ^{2} + 18 x + 88}

derivative y=sqrt(x)(x-4)

d er i v a t i v e y = x (x - 4)

integral of-1/2 cos(2x)(2x)

\int - \frac{1}{2} cos (2 x) (2 x) d x

derivative of (x+3/(7x^2e^x))

\frac{d}{d x} (\frac{x + 3}{7 x ^{2} e ^{x}})