Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometric Substitution
Integration

Formulas

x = 9 sin(θ)
dx = 9 cos(θ) dθ
√(81 - x^2) = 9 cos(θ)

Theorems

Pythagorean identity: sin^2(θ) + cos^2(θ) = 1

Suitable Grade Level

Undergraduate Calculus