Question

Improper integral

can you show me how to solve this improper integral

1/ 1- x from 0 to 3

Answer 1

I know it seems simple, I just want to understand something

Answer 2

I think that such integral is equivalent to these 2 independent limits:
\[\Large \mathop {\lim }\limits_{{c_1} \to {1^ - }} \int_0^{{c_1}} {\frac{{dx}}{{x - 1}}} + \mathop {\lim }\limits_{{c_2} \to {1^ + }} \int_{{c_2}}^3 {\frac{{dx}}{{x - 1}}} \]

Answer 3

thank you

Answer 4

:)