$$$b d m o \cos{\left(x \right)}$$$ 关于$$$x$$$的积分
您的输入
求$$$\int b d m o \cos{\left(x \right)}\, dx$$$。
解答
对 $$$c=b d m o$$$ 和 $$$f{\left(x \right)} = \cos{\left(x \right)}$$$ 应用常数倍法则 $$$\int c f{\left(x \right)}\, dx = c \int f{\left(x \right)}\, dx$$$:
$${\color{red}{\int{b d m o \cos{\left(x \right)} d x}}} = {\color{red}{b d m o \int{\cos{\left(x \right)} d x}}}$$
余弦函数的积分为 $$$\int{\cos{\left(x \right)} d x} = \sin{\left(x \right)}$$$:
$$b d m o {\color{red}{\int{\cos{\left(x \right)} d x}}} = b d m o {\color{red}{\sin{\left(x \right)}}}$$
因此,
$$\int{b d m o \cos{\left(x \right)} d x} = b d m o \sin{\left(x \right)}$$
加上积分常数:
$$\int{b d m o \cos{\left(x \right)} d x} = b d m o \sin{\left(x \right)}+C$$
答案
$$$\int b d m o \cos{\left(x \right)}\, dx = b d m o \sin{\left(x \right)} + C$$$A