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.

The definite integral of $f(x)$ from $x=a$ to $x=b$ can be computed as $F(b)-F(a)$ , where $F$ is an antiderivative of $f$ .
More formally, the first part of the fundamental theorem of calculus states that if $f$ is continuous on the interval $[a,b]$ and if $f(x) = \frac {d}{dx} F(x)$ , then $F(b)-F(a) = \int _a^b f(x) dx$