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

Lösung

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

\frac{4}{3}

Dezimale

1.33333 \dots

Schritte zur Lösung

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

\int_{1}^{2} x^{2} d x = \frac{7}{3}

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

= \frac{7}{3} - 1

Vereinfache

\frac{7}{3} - 1 : \frac{4}{3}

= \frac{4}{3}

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