AP Calculus BC: Volume by Cross Sections TRAP & 3D Visualization 🧊 (+ Formula Cheat Sheet)
Автор: AP_Zone_5
Загружено: 2026-01-25
Просмотров: 19
Описание:
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.
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