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Evaluate: ∫cos^2x/(cos^2x+4sin^2x)dx for x∈[0,π/2].

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Evaluate: ∫cos2x/(cos2x+4sin2x)dx for x∈[0,π/2].

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I= ∫cos2x/(cos2x+4sin2x)dx for x∈[0,π/2].

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