## 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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