$$$\frac{\sqrt{2}}{2}$$$ 的積分
您的輸入
求$$$\int \frac{\sqrt{2}}{2}\, dx$$$。
解答
配合 $$$c=\frac{\sqrt{2}}{2}$$$,應用常數法則 $$$\int c\, dx = c x$$$:
$${\color{red}{\int{\frac{\sqrt{2}}{2} d x}}} = {\color{red}{\left(\frac{\sqrt{2} x}{2}\right)}}$$
因此,
$$\int{\frac{\sqrt{2}}{2} d x} = \frac{\sqrt{2} x}{2}$$
加上積分常數:
$$\int{\frac{\sqrt{2}}{2} d x} = \frac{\sqrt{2} x}{2}+C$$
答案
$$$\int \frac{\sqrt{2}}{2}\, dx = \frac{\sqrt{2} x}{2} + C$$$A