integral from 0 to 5 of x-1

Lösung

\int_{0}^{5} x - 1 d x

\frac{15}{2}

Dezimale

7.5

Schritte zur Lösung

\int_{0}^{5} x - 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_{0}^{5} x d x - \int_{0}^{5} 1 d x

\int_{0}^{5} x d x = \frac{25}{2}

\int_{0}^{5} 1 d x = 5

= \frac{25}{2} - 5

Vereinfache

\frac{25}{2} - 5 : \frac{15}{2}

= \frac{15}{2}

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