Question

под буквой а)f(x)=3/x-3, A(-2;0) ​

Answer 1

$F(x)=\int \frac{3}{x-3}\, dx=3\cdot ln|x-3|+C\; ,\\\\A(-2,0):\; \; F(-2)=0\; ,\; \; 0=3\cdot ln|-2-3|+C\; ,\; \; 0=3\cdot ln5+C\; ,\\\\C=-3\cdot ln5\\\\F(x)=3\cdot ln|x-3|-3\cdot ln5\\\\F(x)=3\cdot ln\frac{|x-3|}{5}$