$$$\frac{1}{x^{\frac{5}{6}}}$$$의 적분

$$$\int \frac{1}{x^{\frac{5}{6}}}\, dx$$$을(를) 구하시오.

멱법칙($$$\int x^{n}\, dx = \frac{x^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$)을 $$$n=- \frac{5}{6}$$$에 적용합니다:

$${\color{red}{\int{\frac{1}{x^{\frac{5}{6}}} d x}}}={\color{red}{\int{x^{- \frac{5}{6}} d x}}}={\color{red}{\frac{x^{- \frac{5}{6} + 1}}{- \frac{5}{6} + 1}}}={\color{red}{\left(6 x^{\frac{1}{6}}\right)}}={\color{red}{\left(6 \sqrt[6]{x}\right)}}$$

따라서,

$$\int{\frac{1}{x^{\frac{5}{6}}} d x} = 6 \sqrt[6]{x}$$

적분 상수를 추가하세요:

$$\int{\frac{1}{x^{\frac{5}{6}}} d x} = 6 \sqrt[6]{x}+C$$

$$$\int \frac{1}{x^{\frac{5}{6}}}\, dx = 6 \sqrt[6]{x} + C$$$A