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Beliebt Rechnen >

integral from 2 to 6 of pi(y-2)2

Lösung

\int_{2}^{6} π (y - 2) 2 d y

Lösung

16 π

+1

Dezimale

50.26548 \dots

Schritte zur Lösung

\int_{2}^{6} π (y - 2) \cdot 2 d y

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= π 2 \cdot \int_{2}^{6} y - 2 d y

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= π 2 (\int_{2}^{6} y d y - \int_{2}^{6} 2 d y)

\int_{2}^{6} y d y = 16

\int_{2}^{6} 2 d y = 8

= π 2 (16 - 8)

Vereinfache

= 16 π

Graph

Beliebte Beispiele

(dy)/(dx)=(cos(5x))/(e^{5y)}

\frac{d y}{d x} = \frac{cos ( 5 x )}{e ^{5 y}}

derivative of x/(2x-1)

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\int 100 x d x

derivative 4pir^2

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