Question

Найдите первообразную функции

Answer 1

$f(x)=-frac{1}{(6x+1)^2}\\F(x)=-int frac{dx}{(6x+1)^2}=-frac{1}{6}int (6x+1)^{-2} cdot 6, dx=-frac{1}{6}cdot frac{(6x+1)^{-1}}{-1}+C=\\=frac{1}{6cdot (6x+1)}+C$