Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Integration
Trigonometric Substitution
Formulas
x = 3 tan(θ)
dx = 3 sec²(θ) dθ
∫ x √(9 + x²) dx
9 + x² = 9 sec²(θ)
√(9 + x²) = 3 sec(θ)
27 ∫ tan(θ) sec³(θ) dθ
Theorems
Trigonometric Substitution
Suitable Grade Level
Undergraduate Calculus
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