integral from 0 to 7 of 9800pi(7-y)

Lösung

\int_{0}^{7} 9800 π (7 - y) d y

240100 π

Dezimale

754296.39612 \dots

Schritte zur Lösung

\int_{0}^{7} 9800 π (7 - y) d y

Entferne die Konstante:

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

= 9800 π \cdot \int_{0}^{7} 7 - 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

= 9800 π (\int_{0}^{7} 7 d y - \int_{0}^{7} y d y)

\int_{0}^{7} 7 d y = 49

\int_{0}^{7} y d y = \frac{49}{2}

= 9800 π (49 - \frac{49}{2})

Vereinfache

9800 π (49 - \frac{49}{2}) : 240100 π

= 240100 π

t an g e n t y = \frac{1}{( 1 + x ^{2} ) , ( - 1 , \frac{1}{2} )}

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