I am trying to approximate an exponential integral which has an upper boundary that is not infinite. The integral I am trying to solve is:
$\int_{1}^{x_1} \frac{exp(-Ax)}{x^2} dx$
If the upper limit is $\infty$ this can be expressed as en exponential integral, however how could I solve this integral with the finite limit of $x_1$?
Edit: the limits of the variables are: $x_1 > 1$ and $A>0$