integral from-4 to 0 of (5+sqrt(16-x^2))

Lösung

\int_{- 4}^{0} (5 + 16 - x^{2}) d x

20 + 4 π

Dezimale

32.56637 \dots

Schritte zur Lösung

\int_{- 4}^{0} 5 + 16 - 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_{- 4}^{0} 5 d x + \int_{- 4}^{0} 16 - x^{2} d x

\int_{- 4}^{0} 5 d x = 20

\int_{- 4}^{0} 16 - x^{2} d x = 4 π

= 20 + 4 π

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