Complex Integral Involving e^(ix) and Cosine

Math Problem Statement

∫ (e^(i*x) * cos(x)) dx / (4 + e^(2*i*x))

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Complex Analysis
Integration
Trigonometric Integrals

∫ du / (1 + u^2) = Bgtan(u) + c
u = e^(i*x) / 2, du = (1/2) * e^(i*x) * cos(x) dx

Integral of 1 / (1 + u^2) = Bgtan(u)

Grades 12-14 (Advanced Undergraduate)

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