Math Problem Statement

𝑥

3+1

𝑥(𝑥

2+1)

2 𝑑𝑥

Solution

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Math Problem Analysis

Mathematical Concepts

Integral Calculus
Trigonometric Substitution
Rational Functions

Formulas

Trigonometric Substitution: x = tan(θ)
Half-Angle Identity: cos^2(θ) = (1 + cos(2θ)) / 2
Integral of cos^2(θ)

Theorems

Trigonometric Substitution Theorem
Half-Angle Identity Theorem

Suitable Grade Level

Undergraduate Calculus