## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Centroid calculation

Area integration

Curve integration

### Formulas

Area under a curve: A = ∫f(x) dx

Centroid (x-coordinate): \( \bar{x} = \frac{1}{A} \int x dA \)

Centroid (y-coordinate): \( \bar{y} = \frac{1}{A} \int y dA \)

### Theorems

Centroid of composite areas

Integral of a curve (area under a curve)

### Suitable Grade Level

Undergraduate level, Engineering or Physics courses

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