$$$\frac{1}{126 t}$$$의 적분

$$$\int \frac{1}{126 t}\, dt$$$을(를) 구하시오.

상수배 법칙 $$$\int c f{\left(t \right)}\, dt = c \int f{\left(t \right)}\, dt$$$을 $$$c=\frac{1}{126}$$$와 $$$f{\left(t \right)} = \frac{1}{t}$$$에 적용하세요:

$${\color{red}{\int{\frac{1}{126 t} d t}}} = {\color{red}{\left(\frac{\int{\frac{1}{t} d t}}{126}\right)}}$$

$$$\frac{1}{t}$$$의 적분은 $$$\int{\frac{1}{t} d t} = \ln{\left(\left|{t}\right| \right)}$$$:

$$\frac{{\color{red}{\int{\frac{1}{t} d t}}}}{126} = \frac{{\color{red}{\ln{\left(\left|{t}\right| \right)}}}}{126}$$

따라서,

$$\int{\frac{1}{126 t} d t} = \frac{\ln{\left(\left|{t}\right| \right)}}{126}$$

적분 상수를 추가하세요:

$$\int{\frac{1}{126 t} d t} = \frac{\ln{\left(\left|{t}\right| \right)}}{126}+C$$

$$$\int \frac{1}{126 t}\, dt = \frac{\ln\left(\left|{t}\right|\right)}{126} + C$$$A