whats the difference between the disk and washer method and how exactly would i use them
Disk Method: easy
When to Use: For solids that have circular cross-sections and no hole in the middle.
Function Needed: One function f(x) or f(y) to define the curve.
Integral Formula: V = π ∫ from a to b (f(x)^2 dx or (or y)
Washer Method: (basically the outer hole - the inner hole)
When to Use: For solids that have circular cross-sections but have a hole in the middle.
Functions Needed: Two functions f(x) AND g(x) or y equivalent, to define the outer and inner curves.
Integral Formula: . π ∫ a to b f(x)^2 -g(x)^2 dx ( or y)