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Beliebt Rechnen >

integral from 0 to 7 of pi(2sqrt(3y))^2

Lösung

\int_{0}^{7} π (2 3 y)^{2} d y

Lösung

π 294

+1

Dezimale

923.62824 \dots

Schritte zur Lösung

\int_{0}^{7} π (2 3 y)^{2} d y

Entferne die Konstante:

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

= π \cdot \int_{0}^{7} (2 3 y)^{2} d y

Wende die partielle Integration an

= π [12 y^{2} - \int 12 y d y]_{0}^{7}

\int 12 y d y = 6 y^{2}

= π [12 y^{2} - 6 y^{2}]_{0}^{7}

Vereinfache

= π [6 y^{2}]_{0}^{7}

Berechne die Grenzen:

294

= π 294

Graph

Beliebte Beispiele

integral from 0 to 1 of 3xe^x

\int_{0}^{1} 3 x e^{x} d x

integral from-2 to 2 of 0

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

integral from 0 to 9 of x/(sqrt(9+3x))

\int_{0}^{9} \frac{x}{9 + 3 x} d x

integral from 1 to x of x^4

\int_{1}^{x} x^{4} d x

integral from 6 to 9 of 1/(x^2)

\int_{6}^{9} \frac{1}{x ^{2}} d x