AP Calculus BC: Volume by Cross Sections TRAP & 3D Visualization 🧊 (+ Formula Cheat Sheet)

Struggling with Volume by Cross Sections in AP Calculus BC? In this video, we tackle a 2022 AP Calculus BC FRQ problem involving a region bounded by y = 1/x, but with a twist that traps many students! In this video, we cover: The Trap: Why you should NOT use y = 1/x to calculate the area when the problem explicitly gives you the area function . The Solution: Step-by-step Integration by Parts to find the exact volume. 3D Visualization: I built a 3D model to show you exactly what this solid looks like—a shrinking base with an exponentially growing height! Exam Cheat Sheet: A quick summary of the 3 most common cross-section formulas (Squares, Semicircles, and Equilateral Triangles) to save you time on the AP Exam.