## Math Problem Statement

Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. y=^4sqrt(x-1), y=0, x=3 Set up a definite integral that gives the volume, then find the volume of the solid rounded to 4 decimal places.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Calculus

Volume of Solids of Revolution

Definite Integration

Disk Method

### Formulas

Volume formula using disk method: V = π∫[a,b] (f(x))^2 dx

y = (x - 1)^(1/4) => y^2 = (x - 1)^(1/2)

### Theorems

Disk Method

Substitution Method in Integration

### Suitable Grade Level

College Calculus I or AP Calculus AB

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