If the partition P2 is a refinement of the partition P1 of [a,b], then L(P1,f)≤L(P2,f) and U(P2,f)≤U(P1,f). Verify this result for the function f(x)= 4 cosx , defined over [0, π/2] and for the partition P1= { 0, π/6, π/2} and P2= {0, π/6,π/3,π/2}.
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