integral from 0 to 3 of |t-2|

Lösung

\int_{0}^{3} ∣ t - 2 ∣ d t

\frac{5}{2}

Dezimale

2.5

Schritte zur Lösung

\int_{0}^{3} ∣ t - 2 ∣ d t

Entferne die Extremwerte

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

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

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

= 2 + \frac{1}{2}

Vereinfache

2 + \frac{1}{2} : \frac{5}{2}

= \frac{5}{2}

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