integral from 0 to 5 of |t^2+2t-15|

Lösung

\int_{0}^{5} t^{2} + 2 t - 15 d t

\frac{137}{3}

Dezimale

45.66666 \dots

Schritte zur Lösung

\int_{0}^{5} t^{2} + 2 t - 15 d t

Entferne die Extremwerte

= \int_{0}^{3} - t^{2} - 2 t + 15 d t + \int_{3}^{5} t^{2} + 2 t - 15 d t

\int_{0}^{3} - t^{2} - 2 t + 15 d t = 27

\int_{3}^{5} t^{2} + 2 t - 15 d t = \frac{56}{3}

= 27 + \frac{56}{3}

Vereinfache

27 + \frac{56}{3} : \frac{137}{3}

= \frac{137}{3}

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