integral from 0 to 5 of |t^2-t|

Lösung

\int_{0}^{5} t^{2} - t d t

\frac{59}{2}

Dezimale

29.5

Schritte zur Lösung

\int_{0}^{5} t^{2} - t d t

Entferne die Extremwerte

= \int_{0}^{1} - t^{2} + t d t + \int_{1}^{5} t^{2} - t d t

\int_{0}^{1} - t^{2} + t d t = \frac{1}{6}

\int_{1}^{5} t^{2} - t d t = \frac{88}{3}

= \frac{1}{6} + \frac{88}{3}

Vereinfache

\frac{1}{6} + \frac{88}{3} : \frac{59}{2}

= \frac{59}{2}

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