Let function f(x), its first derivative, and its secondderivative all be positive on a closed interval [a,b]. Theinterval [a,b] is partitioned into n equal length sub-intervals andthese are used to compute an Upper Sum, U, a lower sum, L, and theTrapezoidal Rule approximation, T. If I = ∫ (a→b) f(x) dx, which statement below is true?
A) L < U < T < I
B) L < U < I < T
C) L < T < I < U
D) L < I < T < U
E) L < I < U < T