12-25-2025, 04:00 AM
I'm a first-year engineering student, and I'm really struggling with the applications of integration in my calculus course, specifically finding volumes of solids of revolution and work problems. I understand the basic integrals, but when it comes to setting up the problem—choosing between the disk, washer, or shell method—I get completely lost. I've been to office hours, but I need a different way to visualize these concepts. For those who mastered this topic, what resources or analogies finally made it click for you? Are there any specific online tutorials, practice problem sets, or even physical models that helped you understand how to approach these word problems and correctly identify the bounds and functions to integrate?