Question

ИНТЕГРАЛ!!!!!!!!!!!!!!!!!

Answer 1

$\int \frac{dx}{ {x}^{7} } = \int {x}^{ - 7} dx = \frac{ {x}^{ - 7 + 1} }{ - 7 + 1} = \frac{ {x}^{ - 6} }{ - 6} = - \frac{1}{6 {x}^{6} } + C, \: C \in \R$

Answer 2

$\displaystyle \int \frac{dx}{x^{7}} = \int x^{-7} \, dx = \frac{x^{-7+1}}{-7+1} + C = \frac{x^{-6}}{-6} + C = -\frac{1}{6x^{6}}+C$

Использованные формулы:

$x^{n} = \dfrac{1}{x^{-n}}$

$\displaystyle \int x^{a} \, dx = \frac{x^{a+1}}{a+1}+C, ~ a\neq -1$