I've been dealing with a rather difficult (at least for me) integration problem which I am not able to find in integration tables I've been consulting.
After a variable transformation I ended up with the following sets of integrals:
from 0 to t (t is not infinity) and
also from 0 to t
I ended up with these starting from
(A,B,C and D are constants) from 0 to infinity and using the transform