$$$\frac{\pi}{2}$$$의 적분

$$$\int \frac{\pi}{2}\, d\pi$$$을(를) 구하시오.

상수배 법칙 $$$\int c f{\left(\pi \right)}\, d\pi = c \int f{\left(\pi \right)}\, d\pi$$$을 $$$c=\frac{1}{2}$$$와 $$$f{\left(\pi \right)} = \pi$$$에 적용하세요:

$${\color{red}{\int{\frac{\pi}{2} d \pi}}} = {\color{red}{\left(\frac{\int{\pi d \pi}}{2}\right)}}$$

멱법칙($$$\int \pi^{n}\, d\pi = \frac{\pi^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$)을 $$$n=1$$$에 적용합니다:

$$\frac{{\color{red}{\int{\pi d \pi}}}}{2}=\frac{{\color{red}{\frac{\pi^{1 + 1}}{1 + 1}}}}{2}=\frac{{\color{red}{\left(\frac{\pi^{2}}{2}\right)}}}{2}$$

따라서,

$$\int{\frac{\pi}{2} d \pi} = \frac{\pi^{2}}{4}$$

적분 상수를 추가하세요:

$$\int{\frac{\pi}{2} d \pi} = \frac{\pi^{2}}{4}+C$$

$$$\int \frac{\pi}{2}\, d\pi = \frac{\pi^{2}}{4} + C$$$A