Main Ideas

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Here are the main points that will be addressed in the videos. Please read these and think about them as you watch.

An accumulation function tells you how much of a quantity you have accumulated up to a particular value of $x$ .
An accumulation function looks like a definite integral, except it has a variable in the bounds, like $A(x) = \int _0^x f(t) dt$
The derivative of the accumulation function $A(x)$ is the integrand function $f$ , except it is now a function of $x$ instead of $t$ . For example, if $A(x) = \int _0^x e^{-t^2} dt$ , then $A'(x) = e^{-x^2}$ .