Practice question · Multiple choice
Your car’s odometer ticks upward as you drive. Which calculus object is the odometer physically computing from your speed?
Hints
- In each tiny instant you add (speed) × (tiny time) to the total. What operation is "add up tiny products"?
- Speedometer and odometer are inverse instruments, one differentiates position, the other rebuilds it.
Show the answer
C. The integral of speed over time
Why
The odometer accumulates moment by moment: a running Riemann sum, i.e. . Speedometer (derivative) and odometer (integral) driving in tandem are the fundamental theorem bolted to your dashboard.
Practise Integrals as accumulation
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