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

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.

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.

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.

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.

The value of integral int _(0)^(pi) x f (sin x ) dx is

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

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