integral from 7 to 9 of (x^2+2x-7)

Lösung

\int_{7}^{9} (x^{2} + 2 x - 7) d x

\frac{440}{3}

Dezimale

146.66666 \dots

Schritte zur Lösung

\int_{7}^{9} x^{2} + 2 x - 7 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_{7}^{9} x^{2} d x + \int_{7}^{9} 2 x d x - \int_{7}^{9} 7 d x

\int_{7}^{9} x^{2} d x = \frac{386}{3}

\int_{7}^{9} 2 x d x = 32

\int_{7}^{9} 7 d x = 14

= \frac{386}{3} + 32 - 14

Vereinfache

\frac{386}{3} + 32 - 14 : \frac{440}{3}

= \frac{440}{3}

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