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A line tangent to the graph of the funct...

A line tangent to the graph of the function `y =f(x)` at the point x = a forms an angle `pi/3` with the axis of Abscissa and angle `pi/4` at the point x=b then `int_a^b f''(x) dx` is

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The tangent, represented by the graph of the function y=f(x), at the point with abscissa x = 1 form an angle of pi//6 , at the point x = 2 form an angle of pi//3 and at the point x = 3 form and angle of pi//4 . Then, find the value of, int_(1)^(3)f'(x)f''(x)dx+int_(2)^(3)f''(x)dx.

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