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Beliebt Rechnen >

integral from 0 to 4 of pi(4-y)

Lösung

\int_{0}^{4} π (4 - y) d y

Lösung

8 π

+1

Dezimale

25.13274 \dots

Schritte zur Lösung

\int_{0}^{4} π (4 - y) d y

Entferne die Konstante:

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

= π \cdot \int_{0}^{4} 4 - y 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 (\int_{0}^{4} 4 d y - \int_{0}^{4} y d y)

\int_{0}^{4} 4 d y = 16

\int_{0}^{4} y d y = 8

= π (16 - 8)

Vereinfache

= 8 π

Graph

Beliebte Beispiele

(\partial)/(\partial x)((4x)/(sqrt(x^2+2)))

\frac{\partial}{\partial x} (\frac{4 x}{x ^{2} + 2})

f(x)=sqrt(5x+1)

f (x) = 5 x + 1

integral of sec^4(3x)tan^3(3x)

\int sec^{4} (3 x) tan^{3} (3 x) d x

derivative of 6e^{-x}

\frac{d}{d x} (6 e^{- x})

fläche y=5x,y= 1/7 x,y=50-x^2

a re a y = 5 x, y = \frac{1}{7} x, y = 50 - x^{2}