Q: show that the composite midpoint Mk and the composite trapezoid

Tk quadrature rules over k sub-intervals satisfy.....(see details in the attachment plz, thank you)

1.[Theory] If the integrand f is twice continuously differentiable and f"(x) 2 0 on a, b], show that the composite midpoint Mx and the composite trapezoid The quadrature rules over k sub-intervals satisfy MK(f ) S f(x)da S Tk(f). a