Integral dari $$$\frac{\ln\left(x\right)}{x}$$$ terhadap $$$e$$$

Temukan $$$\int \frac{\ln\left(x\right)}{x}\, de$$$.

Terapkan aturan konstanta $$$\int c\, de = c e$$$ dengan $$$c=\frac{\ln{\left(x \right)}}{x}$$$:

$${\color{red}{\int{\frac{\ln{\left(x \right)}}{x} d e}}} = {\color{red}{\frac{e \ln{\left(x \right)}}{x}}}$$

Oleh karena itu,

$$\int{\frac{\ln{\left(x \right)}}{x} d e} = \frac{e \ln{\left(x \right)}}{x}$$

Tambahkan konstanta integrasi:

$$\int{\frac{\ln{\left(x \right)}}{x} d e} = \frac{e \ln{\left(x \right)}}{x}+C$$

$$$\int \frac{\ln\left(x\right)}{x}\, de = \frac{e \ln\left(x\right)}{x} + C$$$A