integral from 1 to 4 of z(1-1/e)

Lösung

\int_{1}^{4} z (1 - \frac{1}{e}) d z

\frac{15 ( e - 1 )}{2 e}

Dezimale

4.74090 \dots

Schritte zur Lösung

\int_{1}^{4} z (1 - \frac{1}{e}) d z

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= (1 - \frac{1}{e}) \cdot \int_{1}^{4} z d z

\int_{1}^{4} z d z = \frac{15}{2}

= (1 - \frac{1}{e}) \frac{15}{2}

Vereinfache

(1 - \frac{1}{e}) \frac{15}{2} : \frac{15 ( e - 1 )}{2 e}

= \frac{15 ( e - 1 )}{2 e}

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