integral from 0 to 5 of (3-2x+x^2)

Lösung

\int_{0}^{5} (3 - 2 x + x^{2}) d x

\frac{95}{3}

Dezimale

31.66666 \dots

Schritte zur Lösung

\int_{0}^{5} 3 - 2 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_{0}^{5} 3 d x - \int_{0}^{5} 2 x d x + \int_{0}^{5} x^{2} d x

\int_{0}^{5} 3 d x = 15

\int_{0}^{5} 2 x d x = 25

\int_{0}^{5} x^{2} d x = \frac{125}{3}

= 15 - 25 + \frac{125}{3}

Vereinfache

15 - 25 + \frac{125}{3} : \frac{95}{3}

= \frac{95}{3}

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