$$$\cosh{\left(x \right)}$$$ 的積分
您的輸入
求$$$\int \cosh{\left(x \right)}\, dx$$$。
解答
雙曲餘弦的積分為 $$$\int{\cosh{\left(x \right)} d x} = \sinh{\left(x \right)}$$$:
$${\color{red}{\int{\cosh{\left(x \right)} d x}}} = {\color{red}{\sinh{\left(x \right)}}}$$
因此,
$$\int{\cosh{\left(x \right)} d x} = \sinh{\left(x \right)}$$
加上積分常數:
$$\int{\cosh{\left(x \right)} d x} = \sinh{\left(x \right)}+C$$
答案
$$$\int \cosh{\left(x \right)}\, dx = \sinh{\left(x \right)} + C$$$A
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