If $P_1$ and $P_2$ are partitions of $[a,b]$ such that $P_1 \subset P_2$ then it follows that:
$$L(P_1) \leq L(P_2) \ \ \ \text{ and } \ \ \ U(P_1) \geq U(P_2)$$
Can someone explain why this is true intuitively or graphicly?
2026-03-28 03:01:02.1774666862
Upper and Lower sums - Riemann Integral
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