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Beliebt Rechnen >

integral of 50+3.5xe^{-0.01x^2}

Lösung

\int 50 + 3.5 x e^{- 0.01 x^{2}} d x

Lösung

50 x - 175 e^{- 0.01 x^{2}} + C

Schritte zur Lösung

\int 50 + 3.5 x e^{- 0.01 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 50 d x + \int 3.5 x e^{- 0.01 x^{2}} d x

\int 50 d x = 50 x

\int 3.5 x e^{- 0.01 x^{2}} d x = - 175 e^{- 0.01 x^{2}}

= 50 x - 175 e^{- 0.01 x^{2}}

Füge eine Konstante zur Lösung hinzu

= 50 x - 175 e^{- 0.01 x^{2}} + C

Graph

Beliebte Beispiele

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