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Accumulating cross-sectional area · BC Calculus · greeting
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Slice ⊥ to axis
Thickness Δx
Volume ≈ A(x) Δx
V = ∫ A(x) dx
Disk / washer
= special A(x)
Hole? → washer: πR² − πr²
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:
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