$$$\frac{1}{u}$$$ 的積分
您的輸入
求$$$\int \frac{1}{u}\, du$$$。
解答
$$$\frac{1}{u}$$$ 的積分是 $$$\int{\frac{1}{u} d u} = \ln{\left(\left|{u}\right| \right)}$$$:
$${\color{red}{\int{\frac{1}{u} d u}}} = {\color{red}{\ln{\left(\left|{u}\right| \right)}}}$$
因此,
$$\int{\frac{1}{u} d u} = \ln{\left(\left|{u}\right| \right)}$$
加上積分常數:
$$\int{\frac{1}{u} d u} = \ln{\left(\left|{u}\right| \right)}+C$$
答案
$$$\int \frac{1}{u}\, du = \ln\left(\left|{u}\right|\right) + C$$$A
Please try a new game Rotatly