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Beliebt Rechnen >

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

Lösung

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

Lösung

4 π

+1

Dezimale

12.56637 \dots

Schritte zur Lösung

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

Multipliziere aus

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

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

\int_{- 2}^{2} x 4 - x^{2} d x = 0

\int_{- 2}^{2} 2 4 - x^{2} d x = 4 π

= 0 + 4 π

Vereinfache

= 4 π

Graph

Beliebte Beispiele

integral of-2e^{-2x}

\int - 2 e^{- 2 x} d x

y^{''}+16y=-8sin(4t)

y^{^{''}} + 16 y = - 8 sin (4 t)

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\int csc (π) x cot (π) x d x

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