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

Lösung

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

\frac{9 π}{2} + 12

Dezimale

26.13716 \dots

Schritte zur Lösung

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

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

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

= \frac{9 π}{2} + 12

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