Consider the function f (2 ) = 2 if x = 1. 1 if x E [0, 1] and x * Which of the following statements are true? a f is integrable on [0, 1] and So f(t) dt = 1. b) If H(x) = fo f(t) dt, then H is discontinuous at x = - because f is not continuous at x = ?. c) If H(x) = Jo f(t) dt, then H is continuous on [0, 1] but is not differentiable at x = = because f is not continuous at x = ? d) If H(x) = fo f(t) dt, then H is differentiable at x = NIH with H'( ?) = 2. e) If H(x) = fo f(t) dt, then H is differentiable at x = ; with H'(-) = 1