integral from 1 to 4 of (2-|x-3|)

Lösung

\int_{1}^{4} (2 - ∣ x - 3 ∣) d x

\frac{7}{2}

Dezimale

3.5

Schritte zur Lösung

\int_{1}^{4} 2 - ∣ x - 3 ∣ d x

Entferne die Extremwerte

= \int_{1}^{3} 2 - (- x + 3) d x + \int_{3}^{4} 2 - (x - 3) d x

\int_{1}^{3} 2 - (- x + 3) d x = 2

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

= 2 + \frac{3}{2}

Vereinfache

2 + \frac{3}{2} : \frac{7}{2}

= \frac{7}{2}

\int_{- 1}^{4} (2 x^{4} + 5 x^{3} - x + 5) d x

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