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The Definite Integral

Signed limit of Riemann sums · BC Calculus · greeting

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Owl · Mock interview — The Definite Integral. I ask; you answer.

Owl · Why can that net "area" be zero even when the curve is nowhere flat?

Larry’s gold answer — Show text to read it out loud.

Larry · gold answer · If the positive lobe and negative lobe have equal magnitude, the signed integral is zero even though the graph wiggles. Geometric area would still be positive.

Owl: Why can that net "area" be zero even when the curve is nowhere flat?

You: —