Integraal van $$$5^{x}$$$

De calculator zal de integraal/primitieve functie van $$$5^{x}$$$ bepalen, waarbij de stappen worden weergegeven.

Bepaal $$$\int 5^{x}\, dx$$$.

Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=5$$$:

$${\color{red}{\int{5^{x} d x}}} = {\color{red}{\frac{5^{x}}{\ln{\left(5 \right)}}}}$$

Dus,

$$\int{5^{x} d x} = \frac{5^{x}}{\ln{\left(5 \right)}}$$

Voeg de integratieconstante toe:

$$\int{5^{x} d x} = \frac{5^{x}}{\ln{\left(5 \right)}}+C$$

$$$\int 5^{x}\, dx = \frac{5^{x}}{\ln\left(5\right)} + C$$$A

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