Math Problem Statement
Evaluate ∫_0^1〖√(1-x^2 )dx〗
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Integration
Trigonometric Substitution
Formulas
Trigonometric substitution: x = sin(θ), dx = cos(θ) dθ
Identity: cos^2(θ) = (1 + cos(2θ))/2
Theorems
Fundamental Theorem of Calculus
Pythagorean Identity
Suitable Grade Level
Undergraduate Calculus (Calculus I or II)
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