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