Piecewise function

let f(x) = 2/pi*x [0.pi/2]

= 2sinx (pi/2, 3pi/2]

= 1 (3pi/2,2pi]

a. find a continuous funciton, F(x) , satifying F(x) = integral of f(t)dt on [0,2pi].

b. give the values of x on [0,2pi] for which F(x) is not differentiable.

c. comupte integral of f(x)dx from 0 to 2pi.