Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Integral Calculus
Trigonometric Substitution
Inverse Trigonometric Functions
Formulas
∫ (sqrt(x^2 - 1) / x) dx = sqrt(x^2 - 1) - sec^(-1)(x) + C
Trigonometric substitution: x = sec(θ), dx = sec(θ) tan(θ) dθ
Identity: tan^2(θ) = sec^2(θ) - 1
Theorems
Trigonometric Identities
Inverse Secant Function
Suitable Grade Level
College Calculus
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