Lesson 10 of 20 · about 16 min
Integrals as accumulation
The Big Drop's new sensor measures only speed. How far has the rider fallen? The pump logs only its flow rate. How much water is in the pool? Both questions run derivatives backwards, adding up rate × time slice by slice. That sum is the area under a curve, and its limit is the integral. You'll slice areas into rectangles and trapezoids and watch the estimates close in on the truth.
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In this lesson you'll learn:
- Definite integral
- Riemann sum
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