$$$6 \pi^{2} y^{2}$$$ 关于$$$x$$$的积分
您的输入
求$$$\int 6 \pi^{2} y^{2}\, dx$$$。
解答
应用常数法则 $$$\int c\, dx = c x$$$,使用 $$$c=6 \pi^{2} y^{2}$$$:
$${\color{red}{\int{6 \pi^{2} y^{2} d x}}} = {\color{red}{\left(6 \pi^{2} x y^{2}\right)}}$$
因此,
$$\int{6 \pi^{2} y^{2} d x} = 6 \pi^{2} x y^{2}$$
加上积分常数:
$$\int{6 \pi^{2} y^{2} d x} = 6 \pi^{2} x y^{2}+C$$
答案
$$$\int 6 \pi^{2} y^{2}\, dx = 6 \pi^{2} x y^{2} + C$$$A
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