integral from 1 to 3 of e^x-1/x

Lösung

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

e^{3} - e - ln (3)

Dezimale

16.26864 \dots

Schritte zur Lösung

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

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

\int_{1}^{3} \frac{1}{x} d x = ln (3)

= e^{3} - e - ln (3)

\int_{0}^{1} e^{5 x - 4} d x

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

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\int_{0}^{10} (5 e^{- 0.05 x}) d x