integral from 0 to 2 of 5x^2-11x

Lösung

\int_{0}^{2} 5 x^{2} - 11 x d x

- \frac{26}{3}

Dezimale

- 8.66666 \dots

Schritte zur Lösung

\int_{0}^{2} 5 x^{2} - 11 x d x

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}^{2} 5 x^{2} d x - \int_{0}^{2} 11 x d x

\int_{0}^{2} 5 x^{2} d x = \frac{40}{3}

\int_{0}^{2} 11 x d x = 22

= \frac{40}{3} - 22

Vereinfache

\frac{40}{3} - 22 : - \frac{26}{3}

= - \frac{26}{3}

\int_{1}^{e} (22 + ln (x))^{2} d x

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