Shell Method Calculator
Results
Volume: cubic units
Method: Shell Method around -axis
Integral:
Solution Steps:
Understanding the Shell Method
The shell method calculates volumes by integrating cylindrical shells formed by rotating a region around an axis. This method is particularly useful for certain types of rotational solids.
Key Formulas
- Around x-axis: V = 2π ∫ y f(y) dy
- Around y-axis: V = 2π ∫ x f(x) dx
Note
This calculator uses numerical integration for volume calculations. For complex functions, verify results manually or consult with a mathematical professional.