Given P = [0, 1/4, 1/2, 3/4, 1]. So δx=1/4\delta x = 1/4δx=1/4 .
U(P,f) = [f(14)+f(12)+f(34)+f(1)].δx=[(1/4)3+(1/2)3+(3/4)3+13](14)[ f(\frac{1}{4})+f(\frac{1}{2})+f(\frac{3}{4})+f(1)].\delta x = [(1/4)^3 + (1/2)^3+(3/4)^3+1^3] (\frac{1}{4})[f(41)+f(21)+f(43)+f(1)].δx=[(1/4)3+(1/2)3+(3/4)3+13](41)
= 1.5625/4 = 0.390625.
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