Hi Arpita,
Just to confirm, you're looking at the formulas on page 4 of this paper, right? https://pubs.er.usgs.gov/publication/70034937
It looks like those are calculating the band depth (1 - R/Rc) at a number of adjacent bands, then adding them together to get the integrated band depth over a range of wavelengths; the variable 'n' is just used to indicate which bands are used in the calculation. So for the 1 micron integrated band depth, you'd calculate band depth at each of 789 nm, 809 nm, 829 nm, and so on, up to 1309 nm, and then add the results (with a similar calculation for 2 micron integrated band depth, just using different M3 bands in the sum).
If you're using ENVI for your analysis, the Band Math tool should be able to help you calculate the band depth for each band that you're looking at, then sum up all of the results.
John