Math Problem Statement

Find the arc length of the curve below on the given interval by integrating with respect to x. y equals StartFraction x cubed Over 3 EndFraction plus StartFraction 1 Over 4 x EndFraction ​; ​[1​,4​] Question content area bottom Part 1 The length of the curve is    enter your response here. ​(Type an exact​ answer, using radicals as​ needed.)

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Arc Length
Differentiation
Integration

Formulas

Arc length formula: L = ∫a^b √(1 + (dy/dx)^2) dx

Theorems

Fundamental Theorem of Calculus
Power Rule for Differentiation

Suitable Grade Level

Grades 11-12