Един интеграл

[Гост]

[tex]\int_{}^{ }\frac{x}{x-15 }[/tex]

[Гост]

[tex]\int{\frac{x}{x-15}}dx=\int{\frac{x-15+15}{x-15}}dx = \int dx + 15\int{\frac{dx}{x-15}} = x+15 \ln |x-15|[/tex]