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Beliebt Rechnen >

integral from-2 to 2 of x^2-4

Lösung

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

Lösung

- \frac{32}{3}

+1

Dezimale

- 10.66666 \dots

Schritte zur Lösung

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

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

\int_{- 2}^{2} 4 d x = 16

= \frac{16}{3} - 16

Vereinfache

\frac{16}{3} - 16 : - \frac{32}{3}

= - \frac{32}{3}

Graph

Beliebte Beispiele

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integral of (3t+5)cos(t/4)

\int (3 t + 5) cos (\frac{t}{4}) d t

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derivative of sqrt(16x)

\frac{d}{d x} (16 x)