integral from-3 to 0 of 5+sqrt(9-x^2)

Lösung

\int_{- 3}^{0} 5 + 9 - x^{2} d x

15 + \frac{9 π}{4}

Dezimale

22.06858 \dots

Schritte zur Lösung

\int_{- 3}^{0} 5 + 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} 5 d x + \int_{- 3}^{0} 9 - x^{2} d x

\int_{- 3}^{0} 5 d x = 15

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

= 15 + \frac{9 π}{4}

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