Rigorous Differentiation and the Riemann Integral
Mean value theorems and the construction of the integral.
Derivation Transition from Similarity-Limit Derivations to Riemann Sums and Integral Formulas for Solids of Revolution
This lesson upgrades the geometric, similarity-based cylinder construction into the general Riemann-sum machinery for volumes of revolution. It derives the disk/washer and shell formulas directly from partitioned-slice limits, gives fully worked examples, and anchors interpretation to reduce common mistakes.