Integraal van $$$2^{x}$$$

De calculator zal de integraal/primitieve functie van $$$2^{x}$$$ bepalen, waarbij de stappen worden weergegeven.

Bepaal $$$\int 2^{x}\, dx$$$.

Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=2$$$:

$${\color{red}{\int{2^{x} d x}}} = {\color{red}{\frac{2^{x}}{\ln{\left(2 \right)}}}}$$

Dus,

$$\int{2^{x} d x} = \frac{2^{x}}{\ln{\left(2 \right)}}$$

Voeg de integratieconstante toe:

$$\int{2^{x} d x} = \frac{2^{x}}{\ln{\left(2 \right)}}+C$$

$$$\int 2^{x}\, dx = \frac{2^{x}}{\ln\left(2\right)} + C$$$A

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