This chapter starts off with estimation of area under a curve (area under the velocity curve is the displacement or net distance traveled) and then goes on to to associate this idea with functions. This leads us to the 1st and 2nd Fundamental Theorems of Calculus!
Section 4.1 Anti-derivatives
Section 4.2, 4.3 and 4.6 Summation Notation, Riemann Sums (Left, right and Midpoint) and Trapezoidal method (No video)
Section 4.4 First and Second Fundamental Theorems of Calculus
Section 4.5 U-substitution
Review Ch 4.
Other topics:
1) Displacement vs Total Distance Traveled
2) Position of a function given a velocity with an unknown anti-derivative and an initial value.