Integral from 1 to infinity of 1/[(x+a)sqrt(x-1)]

How to integrate 1/[(x+a)sqrt(x-1)] from 1 to infinity

Chapters
0:00 Change of variables
0:59 Upper and lower integration limits
1:37 New Integral after substituting
4:24 Finding arctangent of infinity
4:54 Answer to problem

#integration

[vikrambhosale]

For the sake of completeness it needs to be addressed that x-1 tends to 0 as x tends to 1 and the function is unbounded in the interval [1, ∞].