integral from 2 to 5 of (3-|x-4|)

Lösung

\int_{2}^{5} (3 - ∣ x - 4 ∣) d x

\frac{13}{2}

Dezimale

6.5

Schritte zur Lösung

\int_{2}^{5} 3 - ∣ x - 4 ∣ d x

Entferne die Extremwerte

= \int_{2}^{4} 3 - (- x + 4) d x + \int_{4}^{5} 3 - (x - 4) d x

\int_{2}^{4} 3 - (- x + 4) d x = 4

\int_{4}^{5} 3 - (x - 4) d x = \frac{5}{2}

= 4 + \frac{5}{2}

Vereinfache

4 + \frac{5}{2} : \frac{13}{2}

= \frac{13}{2}

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