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calculate-0-2pi-dx-cos-2-t-4sin-2-t-dt-




Question Number 37289 by math khazana by abdo last updated on 11/Jun/18
calculate ∫_0 ^(2π)       (dx/(cos^2 t  +4sin^2 t))dt .
$${calculate}\:\int_{\mathrm{0}} ^{\mathrm{2}\pi} \:\:\:\:\:\:\frac{{dx}}{{cos}^{\mathrm{2}} {t}\:\:+\mathrm{4}{sin}^{\mathrm{2}} {t}}{dt}\:. \\ $$

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