What is the integral of exponential function?

[aaaa202]

Can the integral

∫₀^texp(a/(b+ct'))dt'

be carried out analytically?

Or approximated by taking the taylor expansion of exp(a/(b+ct'))

 

[micromass]

You will need the exponential integral: http://en.wikipedia.org/wiki/Exponential_integral

You probably can find the solution with Taylor series - if they converge. Or you can try Laurent series.