Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometric Substitution
Integration
Indefinite Integrals
Trigonometric Identities
Formulas
x = 3sin(θ)
dx = 3cos(θ) dθ
√(9 - x^2) = 3cos(θ)
sin^3(θ) = sin(θ)(1 - cos^2(θ))
∫ sin(θ) dθ = -cos(θ)
u = cos(θ), du = -sin(θ) dθ
Theorems
Trigonometric Substitution
Pythagorean Identity
Suitable Grade Level
College Calculus
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