integral from 1 to e of (-3/x+2)

Lösung

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

2 e - 5

Dezimale

0.43656 \dots

Schritte zur Lösung

\int_{1}^{e} - \frac{3}{x} + 2 d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int_{1}^{e} \frac{3}{x} d x + \int_{1}^{e} 2 d x

\int_{1}^{e} \frac{3}{x} d x = 3

\int_{1}^{e} 2 d x = 2 e - 2

= - 3 + 2 e - 2

Vereinfache

= 2 e - 5

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