Integraal van $$$6^{x}$$$

De calculator zal de integraal/primitieve functie van $$$6^{x}$$$ bepalen, waarbij de stappen worden weergegeven.

Bepaal $$$\int 6^{x}\, dx$$$.

Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=6$$$:

$${\color{red}{\int{6^{x} d x}}} = {\color{red}{\frac{6^{x}}{\ln{\left(6 \right)}}}}$$

Dus,

$$\int{6^{x} d x} = \frac{6^{x}}{\ln{\left(6 \right)}}$$

Voeg de integratieconstante toe:

$$\int{6^{x} d x} = \frac{6^{x}}{\ln{\left(6 \right)}}+C$$

$$$\int 6^{x}\, dx = \frac{6^{x}}{\ln\left(6\right)} + C$$$A

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