Video 5.4.1. Fundamental Theorem of Calculus I.
This video covers the Fundamental Theorem of Calculus I. It considers an accumulation function \(\int_0^xf(t)dt\) and studies what the rate of change (with respect to x) of such a function is.
Section 5.4 Fundamental Theorem of Calculus
Module Learning Objectives.
- State the Fundamental Theorem of Calculus 1, and explain its core idea
- State and apply the Fundamental Theorem of Calculus 2.
- Compute the average value of a function over an interval
Video 5.4.2. Fundamental Theorem of Calculus II.
This video covers the Fundamental Theorem of Calculus II, which relates the key idea of anti-derivatives that we have studied previously to integration. It turns out if you know an anti-derivative, then you can compute a definite integral.
Video 5.4.3. Average Value.
We can use integration to compute the average value for a function.
