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The tangent to the graph of the function...

The tangent to the graph of the function `y=f(x)` at the point with abscissa `x=a` forms with the x-axis an angle of `pi/3` and at the point with abscissa `x=b` at an angle of `pi/4`, then the value of the integral, `int_1^b f'(x).f'' (x) dx` is equal to

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