Integraal van $$$\pi^{x}$$$

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

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

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

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

Dus,

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

Voeg de integratieconstante toe:

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

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

Please try a new game Rotatly