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Question Number 89029 by Jidda28 last updated on 14/Apr/20

Commented by MJS last updated on 14/Apr/20

t=((tan x))^(1/4)  or t=(1/((tan x))^(1/4) ) and then decompose  ((f(t))/(t^8 +1)) which is possible but it′s no fun dealing  with the factors

$${t}=\sqrt[{\mathrm{4}}]{\mathrm{tan}\:{x}}\:\mathrm{or}\:{t}=\frac{\mathrm{1}}{\sqrt[{\mathrm{4}}]{\mathrm{tan}\:{x}}}\:\mathrm{and}\:\mathrm{then}\:\mathrm{decompose} \\ $$$$\frac{{f}\left({t}\right)}{{t}^{\mathrm{8}} +\mathrm{1}}\:\mathrm{which}\:\mathrm{is}\:\mathrm{possible}\:\mathrm{but}\:\mathrm{it}'\mathrm{s}\:\mathrm{no}\:\mathrm{fun}\:\mathrm{dealing} \\ $$$$\mathrm{with}\:\mathrm{the}\:\mathrm{factors} \\ $$

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