integral from-5 to 0 of 2-sqrt(25-x^2)

Lösung

\int_{- 5}^{0} 2 - 25 - x^{2} d x

10 - \frac{25 π}{4}

Dezimale

- 9.63495 \dots

Schritte zur Lösung

\int_{- 5}^{0} 2 - 25 - 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_{- 5}^{0} 2 d x - \int_{- 5}^{0} 25 - x^{2} d x

\int_{- 5}^{0} 2 d x = 10

\int_{- 5}^{0} 25 - x^{2} d x = \frac{25 π}{4}

= 10 - \frac{25 π}{4}

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\int_{0}^{3} t^{3} d t

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