integral from 0 to 3 of 5x^2+9x

Lösung

\int_{0}^{3} 5 x^{2} + 9 x d x

\frac{171}{2}

Dezimale

85.5

Schritte zur Lösung

\int_{0}^{3} 5 x^{2} + 9 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}^{3} 5 x^{2} d x + \int_{0}^{3} 9 x d x

\int_{0}^{3} 5 x^{2} d x = 45

\int_{0}^{3} 9 x d x = \frac{81}{2}

= 45 + \frac{81}{2}

Vereinfache

45 + \frac{81}{2} : \frac{171}{2}

= \frac{171}{2}

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