By simply drawing a graph of the function, I can find that whenever the function is concave up, the trapezoidal rule gives me a definite integral approximation larger than the actual integral of the function;whenever the function is concave down, the trapezoidal rule gives me a definite integral approximation smaller than the actual integral of the function. Is there any way to prove it true other than drawing out the function graph?
2026-03-25 03:24:20.1774409060
Definite integral approximation using Trapezoidal Rule
146 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in CALCULUS
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