Math Problem Statement
Find the volume of the solid obtained by revolving the region enclosed by the curves y=x^2 and y=2x about the x-axis
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Volume of Solids of Revolution
Disk Method
Integration
Formulas
V = π ∫[a, b] (R_outer(x)^2 - R_inner(x)^2) dx
Intersection points: Solve x^2 = 2x
Integral of x^n: ∫ x^n dx = (x^(n+1)) / (n+1)
Theorems
Disk Method for volume of revolution
Definite Integration
Suitable Grade Level
Grades 11-12, College Level Calculus
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