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

Lösung

\int_{- 2}^{3} (4 - ∣ x ∣) d x

\frac{27}{2}

Dezimale

13.5

Schritte zur Lösung

\int_{- 2}^{3} 4 - ∣ x ∣ d x

Entferne die Extremwerte

= \int_{- 2}^{0} 4 - (- x) d x + \int_{0}^{3} 4 - x d x

\int_{- 2}^{0} 4 - (- x) d x = 6

\int_{0}^{3} 4 - x d x = \frac{15}{2}

= 6 + \frac{15}{2}

Vereinfache

6 + \frac{15}{2} : \frac{27}{2}

= \frac{27}{2}

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