integral from 1 to 3 of x^2-1

Lösung

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

\frac{20}{3}

Dezimale

6.66666 \dots

Schritte zur Lösung

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

\int_{1}^{3} x^{2} d x = \frac{26}{3}

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

= \frac{26}{3} - 2

Vereinfache

\frac{26}{3} - 2 : \frac{20}{3}

= \frac{20}{3}

\int_{0}^{5} 4 x d x

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