This is a piecewise function

Let f(x) = 2/pi*x when [0,pi/2]

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

1 when (3pi/2, 2pi]

a. find a continuous function, F(x), satisfying F(x) = the integral f(t) dt from 0 to x, on [0,2pi]

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

c. compute the integral f(x) dx from 0 to 2pi.