integral from 2 to 5 of (x^2+5x)

Lösung

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

\frac{183}{2}

Dezimale

91.5

Schritte zur Lösung

\int_{2}^{5} x^{2} + 5 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_{2}^{5} x^{2} d x + \int_{2}^{5} 5 x d x

\int_{2}^{5} x^{2} d x = 39

\int_{2}^{5} 5 x d x = \frac{105}{2}

= 39 + \frac{105}{2}

Vereinfache

39 + \frac{105}{2} : \frac{183}{2}

= \frac{183}{2}

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