Integral dari $$$\frac{\ln^{2}\left(x\right)}{x}$$$ terhadap $$$t$$$

Temukan $$$\int \frac{\ln^{2}\left(x\right)}{x}\, dt$$$.

Terapkan aturan konstanta $$$\int c\, dt = c t$$$ dengan $$$c=\frac{\ln{\left(x \right)}^{2}}{x}$$$:

$${\color{red}{\int{\frac{\ln{\left(x \right)}^{2}}{x} d t}}} = {\color{red}{\frac{t \ln{\left(x \right)}^{2}}{x}}}$$

Oleh karena itu,

$$\int{\frac{\ln{\left(x \right)}^{2}}{x} d t} = \frac{t \ln{\left(x \right)}^{2}}{x}$$

Tambahkan konstanta integrasi:

$$\int{\frac{\ln{\left(x \right)}^{2}}{x} d t} = \frac{t \ln{\left(x \right)}^{2}}{x}+C$$

$$$\int \frac{\ln^{2}\left(x\right)}{x}\, dt = \frac{t \ln^{2}\left(x\right)}{x} + C$$$A