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Beliebt Rechnen >

integral from 1 to 3 of (x^2+4)/x

Lösung

\int_{1}^{3} \frac{x ^{2} + 4}{x} d x

Lösung

4 + 4 ln (3)

+1

Dezimale

8.39444 \dots

Schritte zur Lösung

\int_{1}^{3} \frac{x ^{2} + 4}{x} d x

Multipliziere aus

\frac{x ^{2} + 4}{x} : x + \frac{4}{x}

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

\int_{1}^{3} x d x = 4

\int_{1}^{3} \frac{4}{x} d x = 4 ln (3)

= 4 + 4 ln (3)

Graph

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