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Beliebt Rechnen >

integral from-2 to 2 of (sqrt(4-x^2))^2

Lösung

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

Lösung

\frac{32}{3}

+1

Dezimale

10.66666 \dots

Schritte zur Lösung

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

Vereinfache

(4 - x^{2})^{2} : 4 - x^{2}

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

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

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

= 16 - \frac{16}{3}

Vereinfache

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

= \frac{32}{3}

Graph

Beliebte Beispiele

derivative of (5x-3^4(2x-7)^{-3})

\frac{d}{d x} ((5 x - 3)^{4} (2 x - 7)^{- 3})

(1/(2sqrt(x)))^'

(\frac{1}{2 x})^{^{'}}

derivative θcos(θ)

d er i v a t i v e θ cos (θ)

integral of (2x-4^x)

\int (2 x - 4^{x}) d x

fläche y=x^2-4,y=5

a re a y = x^{2} - 4, y = 5