A function f is continuous for all x (an...

A function `f` is continuous for all `x` (and not everywhere zero) such that `f^2(x)=int_0^xf(t)(cost)/(2+sint)dtdot` Then `f(x)` is `1/2 1n((x+cosx)/2); x!=0` `1/2 1n(3/(x+cosx)); x!=0` `1/2 1n((2+sinx)/2); x!=npi,n in I` `(cosx+sinx)/(2+sinx); x!=npi+(3pi)/4,n in I`

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