Integraal van $$$c^{x}$$$ met betrekking tot $$$x$$$

De rekenmachine zal de integraal/primitieve van $$$c^{x}$$$ met betrekking tot $$$x$$$ bepalen, waarbij de stappen worden getoond.

Bepaal $$$\int c^{x}\, dx$$$.

Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=c$$$:

$${\color{red}{\int{c^{x} d x}}} = {\color{red}{\frac{c^{x}}{\ln{\left(c \right)}}}}$$

Dus,

$$\int{c^{x} d x} = \frac{c^{x}}{\ln{\left(c \right)}}$$

Voeg de integratieconstante toe:

$$\int{c^{x} d x} = \frac{c^{x}}{\ln{\left(c \right)}}+C$$

$$$\int c^{x}\, dx = \frac{c^{x}}{\ln\left(c\right)} + C$$$A

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