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

Lösung

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

12 + \frac{9 π}{2}

Dezimale

26.13716 \dots

Schritte zur Lösung

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

\int_{- 3}^{3} 2 d x = 12

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

= 12 + \frac{9 π}{2}

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