$$$x^{\frac{27}{10}}$$$의 적분

$$$\int x^{\frac{27}{10}}\, dx$$$을(를) 구하시오.

멱법칙($$$\int x^{n}\, dx = \frac{x^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$)을 $$$n=\frac{27}{10}$$$에 적용합니다:

$${\color{red}{\int{x^{\frac{27}{10}} d x}}}={\color{red}{\frac{x^{1 + \frac{27}{10}}}{1 + \frac{27}{10}}}}={\color{red}{\left(\frac{10 x^{\frac{37}{10}}}{37}\right)}}$$

따라서,

$$\int{x^{\frac{27}{10}} d x} = \frac{10 x^{\frac{37}{10}}}{37}$$

적분 상수를 추가하세요:

$$\int{x^{\frac{27}{10}} d x} = \frac{10 x^{\frac{37}{10}}}{37}+C$$

$$$\int x^{\frac{27}{10}}\, dx = \frac{10 x^{\frac{37}{10}}}{37} + C$$$A