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Mathematics · Definite Integration

Evaluate the integral: ∫0π/4 cos2x / (cos2x + 4sin2x) dx

Verified Solution4 OptionsUpdated: October 2026

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1π/2 - (1/3)tan-1(2)
2-π/4 - (4/3)tan-1(2)
3π/6 + (2/3)tan-1(2)
4-π/12 + (2/3)tan-1(2)✓

Correct answer

-π/12 + (2/3)tan-1(2)

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Evaluate the integral: ∫0π/4 cos2x / (cos2x + 4sin2x) dx

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