$$$\pi^{x}$$$の積分

この計算機は、手順を示しながら$$$\pi^{x}$$$の不定積分（原始関数）を求めます。

$$$\int \pi^{x}\, dx$$$ を求めよ。

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

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

したがって、

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

積分定数を加える:

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

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

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