Here are two spreadsheets for calculating the fraction of a blackbody’s radiant energy in a waveband between two wavelength limits.  I used just brute-force numerical integration, which is readily comprehended, vs. the analytic form as an infinite series as given in the text.

Coarser form, not suited for a high fraction of flux in the ultraviolet:

BB_spectrum

Finer form, better for the case of high ultraviolet fraction.

BB_spectrum_better_resolution_in_UV

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