The integral is: $$\int_{N}^{\infty}\frac{E_{1}(cz+d)}{az+b}e^{-pz}dz$$
where, $E_{1}${.} is the exponential integral, and
$$a>0,\ b>0,\ c>0,\ d>0,\ p>0,\ N>0.$$
This is similar to another question of mine which I don't have any Idea to solve it.
Any hint or coment would be appreciated. It must be noted that I already have solved the integral using approximation of exponential integral. I am seeking an exact solution possible.
Regards.