Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometric Substitution
Completing the Square
Integration Techniques

Formulas

Completing the square: x^2 + x + 1 = (x + 1/2)^2 + 3/4
Trigonometric substitution: x + 1/2 = (sqrt(3)/2)tan(θ)
Standard integrals: ∫sec(θ) dθ = ln|sec(θ) + tan(θ)|

Theorems

Trigonometric Identities
Integration by Substitution

Suitable Grade Level

Undergraduate