Calculus

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You try


Find the area of the region under the graph y = 3x over the interval [0,6]
By splitting it up into 2 intervals
By splitting it up into 3 intervals
By splitting it up into 6 intervals
Verify your estimation by finding the area Geometrically.
What would the work look like if you split it up into n subintervals?

Day 2: Vocabulary

Antidifferentiation
The process of taking a derivative and figuring out what the original function was
Un-differentiating

The Area Problem

How do you find the EXACT area under a curve?
A(x) = the formula for the area from point a to x