I keep getting “Integral as accumulation” questions wrong in Applications of Integrals. What's the trap?
thinking integration only computes geometric area.
The usual trap: thinking integration only computes geometric area. How to avoid it: ∫ rate dt = total change accumulated over the interval. Go back to the definition — integrating a rate gives the total accumulated change (e.g. integrating velocity gives displacement).
Key point
Integral as accumulation
Common mistake
thinking integration only computes geometric area.
Memory tip
∫ rate dt = total change accumulated over the interval.
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