$$$y \sin^{2}{\left(y \right)}$$$ 关于$$$x$$$的积分

该计算器将求出$$$y \sin^{2}{\left(y \right)}$$$关于$$$x$$$的积分/原函数，并显示步骤。

求$$$\int y \sin^{2}{\left(y \right)}\, dx$$$。

应用常数法则 $$$\int c\, dx = c x$$$，使用 $$$c=y \sin^{2}{\left(y \right)}$$$：

$${\color{red}{\int{y \sin^{2}{\left(y \right)} d x}}} = {\color{red}{x y \sin^{2}{\left(y \right)}}}$$

因此，

$$\int{y \sin^{2}{\left(y \right)} d x} = x y \sin^{2}{\left(y \right)}$$

加上积分常数：

$$\int{y \sin^{2}{\left(y \right)} d x} = x y \sin^{2}{\left(y \right)}+C$$

$$$\int y \sin^{2}{\left(y \right)}\, dx = x y \sin^{2}{\left(y \right)} + C$$$A

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