$$$\sinh{\left(x \right)}$$$の積分

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

$$$\int \sinh{\left(x \right)}\, dx$$$ を求めよ。

双曲線正弦関数の不定積分は $$$\int{\sinh{\left(x \right)} d x} = \cosh{\left(x \right)}$$$:

$${\color{red}{\int{\sinh{\left(x \right)} d x}}} = {\color{red}{\cosh{\left(x \right)}}}$$

したがって、

$$\int{\sinh{\left(x \right)} d x} = \cosh{\left(x \right)}$$

積分定数を加える:

$$\int{\sinh{\left(x \right)} d x} = \cosh{\left(x \right)}+C$$

$$$\int \sinh{\left(x \right)}\, dx = \cosh{\left(x \right)} + C$$$A

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