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The number of solutions of the equation ...

The number of solutions of the equation `tan2x*tan x=1` `x in[0,2 pi]` is

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Let f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx and f (x) passes through the point (pi, 0) The number of solution (s) of the equation f (x) =x ^(3) in [0, 2pi] be: