$$$\cos{\left(x \right)}$$$ 关于$$$y$$$的积分
您的输入
求$$$\int \cos{\left(x \right)}\, dy$$$。
解答
应用常数法则 $$$\int c\, dy = c y$$$,使用 $$$c=\cos{\left(x \right)}$$$:
$${\color{red}{\int{\cos{\left(x \right)} d y}}} = {\color{red}{y \cos{\left(x \right)}}}$$
因此,
$$\int{\cos{\left(x \right)} d y} = y \cos{\left(x \right)}$$
加上积分常数:
$$\int{\cos{\left(x \right)} d y} = y \cos{\left(x \right)}+C$$
答案
$$$\int \cos{\left(x \right)}\, dy = y \cos{\left(x \right)} + C$$$A
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