integral from 1 to 2 of (64/3-8y^2)

Lösung

\int_{1}^{2} (\frac{64}{3} - 8 y^{2}) d y

\frac{8}{3}

Dezimale

2.66666 \dots

Schritte zur Lösung

\int_{1}^{2} \frac{64}{3} - 8 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_{1}^{2} \frac{64}{3} d y - \int_{1}^{2} 8 y^{2} d y

\int_{1}^{2} \frac{64}{3} d y = \frac{64}{3}

\int_{1}^{2} 8 y^{2} d y = \frac{56}{3}

= \frac{64}{3} - \frac{56}{3}

Vereinfache

\frac{64}{3} - \frac{56}{3} : \frac{8}{3}

= \frac{8}{3}

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