What is the standard convention for computing something like
$$\int_0^3 \frac{1}{\sqrt{1-x}}\,\mathrm{d}x? $$
Is it equivalent, since the integrand is not defined on $(1,\infty)$, to $$\int_0^1 \frac{1}{\sqrt{1-x}} \, \mathrm{d}x$$ where one can use the standard technique for an improper integral, or does it simply not exist?