Скачать или смотреть The Calculus Question That Stumps 99% of Students

Video Title: The Calculus Question That Stumps 99% of Students

Description: Many engineering students and calculus students fall for this classic integration trap. At first glance, the integral of 1/x^2 from -1 to 1 looks like a standard Power Rule problem, giving an answer of -2. But how can a positive function have a negative area?

In this video, I explain why the Fundamental Theorem of Calculus fails here, how to identify the singularity, and how to correctly solve this as an Improper Integral.

The Problem: Integral from -1 to 1 of 1/x^2 dx

Timestamps:

0:00 - The Problem
2:24 - The Common Mistake (The "99%" Trap)
3:36 - Why "-2" is Geometrically Impossible
4:20 - The Correct Solution (Improper Integrals)
5:00 - Resolving

#Calculus #Engineering #MathHelp #ImproperIntegrals #StudyTips