11J: Average value and Straight motion calculus
Objective: evaluate the average value of a function
note: the average value is the height of a rectangle that has the same area as the area under the curve f(x) from [a,b]
11H- further integration techniques
In this exercise, we will typically be asked to differentiate a function first, and "hence" use the answer to antidifferentiate a complicated function. The trick to do this is to differentiate it correctly, and identify what we can manipulate from dy/dx so that we can apply the integration back to the original function, y.
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