integral from 1 to 4 of (x^2+5x-12)

Lösung

\int_{1}^{4} (x^{2} + 5 x - 12) d x

\frac{45}{2}

Dezimale

22.5

Schritte zur Lösung

\int_{1}^{4} x^{2} + 5 x - 12 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}^{4} x^{2} d x + \int_{1}^{4} 5 x d x - \int_{1}^{4} 12 d x

\int_{1}^{4} x^{2} d x = 21

\int_{1}^{4} 5 x d x = \frac{75}{2}

\int_{1}^{4} 12 d x = 36

= 21 + \frac{75}{2} - 36

Vereinfache

21 + \frac{75}{2} - 36 : \frac{45}{2}

= \frac{45}{2}

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