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Beliebt Rechnen >

integral from 0 to 1 of e^x-xe^x

Lösung

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

Lösung

e - 2

+1

Dezimale

0.71828 \dots

Schritte zur Lösung

\int_{0}^{1} e^{x} - x e^{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_{0}^{1} e^{x} d x - \int_{0}^{1} x e^{x} d x

\int_{0}^{1} e^{x} d x = e - 1

\int_{0}^{1} x e^{x} d x = 1

= e - 1 - 1

Vereinfache

= e - 2

Graph

Beliebte Beispiele

integral from x to 0.5 of 8

\int_{x}^{0.5} 8 d y

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