integral from 0 to 8 of 8y-y^2

Lösung

\int_{0}^{8} 8 y - y^{2} d y

\frac{256}{3}

Dezimale

85.33333 \dots

Schritte zur Lösung

\int_{0}^{8} 8 y - 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

= \int_{0}^{8} 8 y d y - \int_{0}^{8} y^{2} d y

\int_{0}^{8} 8 y d y = 256

\int_{0}^{8} y^{2} d y = \frac{512}{3}

= 256 - \frac{512}{3}

Vereinfache

256 - \frac{512}{3} : \frac{256}{3}

= \frac{256}{3}

\int_{- 4}^{0} x d x

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