(Solution) - For each of the following compute U f P L f P -(2025 Original AI-Free Solution)

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For each of the following, compute U(f. P), L(f. P), and ?20 f(x)dx, where

Find out whether the lower sum or the upper sum is a better approximation to the integral. Graph f and explain why this is so.
a) f(x) = x3
b) f(x) = 3 - x2
c) f(x) = sin(x/5)