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Beliebt Rechnen >

integral from 0 to 7 of pi(2sqrt(5y))^2

Lösung

\int_{0}^{7} π (2 5 y)^{2} d y

Lösung

π 490

+1

Dezimale

1539.38040 \dots

Schritte zur Lösung

\int_{0}^{7} π (2 5 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 5 y)^{2} d y

Wende die partielle Integration an

= π [20 y^{2} - \int 20 y d y]_{0}^{7}

\int 20 y d y = 10 y^{2}

= π [20 y^{2} - 10 y^{2}]_{0}^{7}

Vereinfache

= π [10 y^{2}]_{0}^{7}

Berechne die Grenzen:

490

= π 490

Graph

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