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Beliebt Rechnen >

integral from-3 to 0 of (4+sqrt(9-x^2))

Lösung

\int_{- 3}^{0} (4 + 9 - x^{2}) d x

Lösung

12 + \frac{9 π}{4}

+1

Dezimale

19.06858 \dots

Schritte zur Lösung

\int_{- 3}^{0} 4 + 9 - 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_{- 3}^{0} 4 d x + \int_{- 3}^{0} 9 - x^{2} d x

\int_{- 3}^{0} 4 d x = 12

\int_{- 3}^{0} 9 - x^{2} d x = \frac{9 π}{4}

= 12 + \frac{9 π}{4}

Graph

Beliebte Beispiele

limit as x approaches 4 of (4-x)/(|4-x|)

x \to 4 lim (\frac{4 - x}{∣ 4 - x ∣})

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\int_{l n (8)}^{l n (27)} e^{\frac{x}{3}} d x

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