Math Problem Statement

integral of cos2xln(3+4tanx)

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometric Functions
Logarithmic Functions
Integration Techniques
Integration by Parts

Formulas

Integration by parts formula: ∫u dv = uv - ∫v du
Trigonometric identity: cos(2x) = (1 - tan^2(x)) / (1 + tan^2(x))

Theorems

Fundamental Theorem of Calculus

Suitable Grade Level

Undergraduate level (Calculus II and above)