Math Problem Statement
Find the arc length of the graph of the functionf(x)= x 3 6 + 1 2 x between 3 and 4
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Arc Length
Derivatives
Definite Integrals
Formulas
Arc length formula: L = ∫[a, b] √(1 + (f'(x))^2) dx
Derivative of f(x): f'(x) = x^2 / 2 + 1 / 2
Theorems
Fundamental Theorem of Calculus
Suitable Grade Level
Undergraduate Calculus