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Beliebt Rechnen >

integral from-5 to 5 of 25-x^2

Lösung

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

Lösung

\frac{500}{3}

+1

Dezimale

166.66666 \dots

Schritte zur Lösung

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

\int_{- 5}^{5} 25 d x = 250

\int_{- 5}^{5} x^{2} d x = \frac{250}{3}

= 250 - \frac{250}{3}

Vereinfache

250 - \frac{250}{3} : \frac{500}{3}

= \frac{500}{3}

Graph

Beliebte Beispiele

derivative of (1/(x^2-3/(x^4))*(x+5x^3))

\frac{d}{d x} ((\frac{1}{x ^{2}} - \frac{3}{x ^{4}}) \cdot (x + 5 x^{3}))

derivative of a(e^{-5x}-5e^{-5x}x)

\frac{d}{d x} (a (e^{- 5 x} - 5 e^{- 5 x} x))

(d^2)/(dx^2)(sqrt(x+1))

\frac{d ^{2}}{d x ^{2}} (x + 1)

derivative x/(ln(x))

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derivative-16t^2+83t+4

d er i v a t i v e - 16 t^{2} + 83 t + 4