$$$717897987691852588770249 x^{50}$$$의 적분

$$$\int 717897987691852588770249 x^{50}\, dx$$$을(를) 구하시오.

상수배 법칙 $$$\int c f{\left(x \right)}\, dx = c \int f{\left(x \right)}\, dx$$$을 $$$c=717897987691852588770249$$$와 $$$f{\left(x \right)} = x^{50}$$$에 적용하세요:

$${\color{red}{\int{717897987691852588770249 x^{50} d x}}} = {\color{red}{\left(717897987691852588770249 \int{x^{50} d x}\right)}}$$

멱법칙($$$\int x^{n}\, dx = \frac{x^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$)을 $$$n=50$$$에 적용합니다:

$$717897987691852588770249 {\color{red}{\int{x^{50} d x}}}=717897987691852588770249 {\color{red}{\frac{x^{1 + 50}}{1 + 50}}}=717897987691852588770249 {\color{red}{\left(\frac{x^{51}}{51}\right)}}$$

따라서,

$$\int{717897987691852588770249 x^{50} d x} = \frac{239299329230617529590083 x^{51}}{17}$$

적분 상수를 추가하세요:

$$\int{717897987691852588770249 x^{50} d x} = \frac{239299329230617529590083 x^{51}}{17}+C$$

$$$\int 717897987691852588770249 x^{50}\, dx = \frac{239299329230617529590083 x^{51}}{17} + C$$$A