Pattern – 30 : Definite integration

⋆ Pattern – 30 :

If m is the least value (global minimum) and M is greatest value (global maximum) of f(x) for  ∀ x ∈ [a, b]

i.e.    m  ≤   f(x)  ≤   M  ;  x  [a, b],

then prove that

m (b – a) ≤