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

Lösung

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

- \frac{164}{3}

Dezimale

- 54.66666 \dots

Schritte zur Lösung

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

\int_{1}^{5} x^{2} d x = \frac{124}{3}

\int_{1}^{5} 4 x d x = 48

\int_{1}^{5} 12 d x = 48

= \frac{124}{3} - 48 - 48

Vereinfache

\frac{124}{3} - 48 - 48 : - \frac{164}{3}

= - \frac{164}{3}

\int_{0}^{2} \frac{1}{t - 2} d t

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