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Beliebt Rechnen >

integral from 0 to 10 of (6e^{0.2x}+2)

Lösung

\int_{0}^{10} (6 e^{0.2 x} + 2) d x

Lösung

30 e^{2} - 10

+1

Dezimale

211.67168 \dots

Schritte zur Lösung

\int_{0}^{10} 6 e^{0.2 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_{0}^{10} 6 e^{0.2 x} d x + \int_{0}^{10} 2 d x

\int_{0}^{10} 6 e^{0.2 x} d x = 30 (e^{2} - 1)

\int_{0}^{10} 2 d x = 20

= 30 (e^{2} - 1) + 20

Vereinfache

30 (e^{2} - 1) + 20 : 30 e^{2} - 10

= 30 e^{2} - 10

Graph

Beliebte Beispiele

integral of (3x)/(2sqrt(x))

\int \frac{3 x}{2 x} d x

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x \to 4 + lim (\frac{6 x}{x - 4})

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