de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from-1 to 1 of (x^2-x-1)

Lösung

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

Lösung

- \frac{4}{3}

+1

Dezimale

- 1.33333 \dots

Schritte zur Lösung

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

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

\int_{- 1}^{1} x d x = 0

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

= \frac{2}{3} - 0 - 2

Vereinfache

\frac{2}{3} - 0 - 2 : - \frac{4}{3}

= - \frac{4}{3}

Graph

Beliebte Beispiele

integral of t^3e^{-st}

\int t^{3} e^{- s t} d t

limit as x approaches-6 of |x+6|

x \to - 6 lim (∣ x + 6 ∣)

erweitern \sqrt[3]{7x^2+7x+5}*(5x-3)

e x p an d 3 7 x^{2} + 7 x + 5 \cdot (5 x - 3)

integral of 1/(3cos(5x-pi/4))

\int \frac{1}{3 cos ( 5 x - \frac{π}{4} )} d x

integral of arctan(y)

\int arctan (y) d y