If (dx)/(sin^(4)x+cos^(4)x)=(1)/(sqrt(2)...

If `(dx)/(sin^(4)x+cos^(4)x)=(1)/(sqrt(2))tan^(-1)f(x)+C`

f(x) = tan x - cot x

`f(pi//4) = 0`

f(x) is continous on R

`f(x) = (1)/(2) (tan x - cot x)`

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