integral from 0 to 4 of |sqrt(x)-1|

Lösung

\int_{0}^{4} x - 1 d x

2

Schritte zur Lösung

\int_{0}^{4} x - 1 d x

Entferne die Extremwerte

= \int_{0}^{1} - x + 1 d x + \int_{1}^{4} x - 1 d x

\int_{0}^{1} - x + 1 d x = \frac{1}{3}

\int_{1}^{4} x - 1 d x = \frac{5}{3}

= \frac{1}{3} + \frac{5}{3}

Vereinfache

\frac{1}{3} + \frac{5}{3} : 2

= 2

\int_{1}^{4} x^{\frac{1}{2}} d x

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