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Accumulating cross-sectional area · BC Calculus · greeting

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Owl · Mock interview — Volumes. I ask; you answer.

Owl · Why does the area of each thin slice become the integrand — and what goes wrong if you pick the wrong variable of integration?

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

Larry · gold answer · Each slice contributes volume ≈ area times thickness. Summing and taking a limit makes A(x) the integrand.

Owl: Why does the area of each thin slice become the integrand — and what goes wrong if you pick the wrong variable of integration?

You: —