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Beliebt Rechnen >

integral of 2sin(x)-3e^x

Lösung

\int 2 sin (x) - 3 e^{x} d x

Lösung

- 2 cos (x) - 3 e^{x} + C

Schritte zur Lösung

\int 2 sin (x) - 3 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 2 sin (x) d x - \int 3 e^{x} d x

\int 2 sin (x) d x = - 2 cos (x)

\int 3 e^{x} d x = 3 e^{x}

= - 2 cos (x) - 3 e^{x}

Füge eine Konstante zur Lösung hinzu

= - 2 cos (x) - 3 e^{x} + C

Graph

Beliebte Beispiele

integral of sqrt(2/(1+x))

\int \frac{2}{1 + x} d x

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\int x^{\frac{2}{3}} ln (x) d x

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\int \frac{- 3}{1 - x ^{2}} d x

integral of-2/(x-1)

\int - \frac{2}{x - 1} d x

integral of (x+1)/(x^2-2x-8)

\int \frac{x + 1}{x ^{2} - 2 x - 8} d x