integral of 8+5e^{9-3x}-13

Lösung

\int 8 + 5 e^{9 - 3 x} - 13 d x

- 5 x - \frac{5}{3} e^{- 3 x + 9} + C

Schritte zur Lösung

\int 8 + 5 e^{9 - 3 x} - 13 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 8 d x + \int 5 e^{9 - 3 x} d x - \int 13 d x

\int 8 d x = 8 x

\int 5 e^{9 - 3 x} d x = - \frac{5}{3} e^{9 - 3 x}

\int 13 d x = 13 x

= 8 x - \frac{5}{3} e^{9 - 3 x} - 13 x

Vereinfache

= - 5 x - \frac{5}{3} e^{- 3 x + 9}

Füge eine Konstante zur Lösung hinzu

= - 5 x - \frac{5}{3} e^{- 3 x + 9} + C

\frac{\partial}{\partial x} (2 x + yz - 2)

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d er i v a t i v e f (x) = ln (cos (x))