Question

Completion of the integral x + 5 / x + 6 dx

Answer 1

$\displaystyle \int\frac{x+5}{x+6}\,dx=\int\frac{x+6-1}{x+6}\,dx\\\int\frac{x+5}{x+6}\,dx=\int1-\frac{1}{x+6}\,dx\\\boxed{\boxed{\int\frac{x+5}{x+6}\,dx=x-\ln|x+6|+C}}$