## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Integral Calculus

Geometry

Piecewise Functions

### Formulas

Area of a semi-circle: (1/2)πa²

Integral of a constant: ∫c dx = c(x2 - x1)

### Theorems

Fundamental Theorem of Calculus

### Suitable Grade Level

Grades 11-12

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