integral from 1 to 3 of (5x-x^2)

Lösung

\int_{1}^{3} (5 x - x^{2}) d x

\frac{34}{3}

Dezimale

11.33333 \dots

Schritte zur Lösung

\int_{1}^{3} 5 x - x^{2} 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_{1}^{3} 5 x d x - \int_{1}^{3} x^{2} d x

\int_{1}^{3} 5 x d x = 20

\int_{1}^{3} x^{2} d x = \frac{26}{3}

= 20 - \frac{26}{3}

Vereinfache

20 - \frac{26}{3} : \frac{34}{3}

= \frac{34}{3}

\int_{4}^{5} x^{2} d x

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