Summary
A number of methods for obtaining expansions and approximations to an integral containing a parameter are expounded, and each illustrated by evaluating the function\(Ei_n \left( x \right) = \int\limits_1^\infty {u^{ - n} e^{ - xu} du} \).
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References
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Dingle, R.B. The evaluation of integrals containing a parameter. Appl. sci. Res. 4, 401–410 (1955). https://doi.org/10.1007/BF02920017
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DOI: https://doi.org/10.1007/BF02920017