$$$\cot{\left(x \right)} \csc{\left(x \right)}$$$ 的積分
您的輸入
求$$$\int \cot{\left(x \right)} \csc{\left(x \right)}\, dx$$$。
解答
$$$\cot{\left(x \right)} \csc{\left(x \right)}$$$ 的積分是 $$$\int{\cot{\left(x \right)} \csc{\left(x \right)} d x} = - \csc{\left(x \right)}$$$:
$${\color{red}{\int{\cot{\left(x \right)} \csc{\left(x \right)} d x}}} = {\color{red}{\left(- \csc{\left(x \right)}\right)}}$$
因此,
$$\int{\cot{\left(x \right)} \csc{\left(x \right)} d x} = - \csc{\left(x \right)}$$
加上積分常數:
$$\int{\cot{\left(x \right)} \csc{\left(x \right)} d x} = - \csc{\left(x \right)}+C$$
答案
$$$\int \cot{\left(x \right)} \csc{\left(x \right)}\, dx = - \csc{\left(x \right)} + C$$$A
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