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int0^pisqrt((cosx+cos2x+cos3x)^2+(sinx+s...

`int_0^pisqrt((cosx+cos2x+cos3x)^2+(sinx+sin2x+sin3x)^2) dx` is equal to `(pi/k+w)`, where k and w are positive integers, find the value of `(k^2+w^2)`

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