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## Main Question or Discussion Point

i am completely lost. there is an integral in my textbook in fermi dirac statistics whose result is written directly and am not able to understand . it is

∫⌽(u) du /exp.((u-uf)/kt) + 1 from 0 to ∞

expanded by tayor's series to give

∫⌽(u) du (from 0 to uf) +∏²/6 (kT)² [⌽'(u)] |at u=uf + 7∏⁴/360 (kT)⁴ [⌽''(u)] |at u=uf +................

where uf is such that function of u is zero for u greater than uf.

plz reply as soon as possible. thanks.

∫⌽(u) du /exp.((u-uf)/kt) + 1 from 0 to ∞

expanded by tayor's series to give

∫⌽(u) du (from 0 to uf) +∏²/6 (kT)² [⌽'(u)] |at u=uf + 7∏⁴/360 (kT)⁴ [⌽''(u)] |at u=uf +................

where uf is such that function of u is zero for u greater than uf.

plz reply as soon as possible. thanks.