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

Lösung

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

\frac{7}{4}

Dezimale

1.75

Schritte zur Lösung

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

\int_{1}^{2} x^{3} d x = \frac{15}{4}

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

= \frac{15}{4} - 2

Vereinfache

\frac{15}{4} - 2 : \frac{7}{4}

= \frac{7}{4}

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