integral from 1 to 3 of (2x^2-8)

Lösung

\int_{1}^{3} (2 x^{2} - 8) d x

\frac{4}{3}

Dezimale

1.33333 \dots

Schritte zur Lösung

\int_{1}^{3} 2 x^{2} - 8 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}^{3} 2 x^{2} d x - \int_{1}^{3} 8 d x

\int_{1}^{3} 2 x^{2} d x = \frac{52}{3}

\int_{1}^{3} 8 d x = 16

= \frac{52}{3} - 16

Vereinfache

\frac{52}{3} - 16 : \frac{4}{3}

= \frac{4}{3}

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