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Question Number 1822 by 112358 last updated on 06/Oct/15

Find the value of                      ∫_0 ^π ((x∣sin2x∣)/(3+sin^2 x))dx.

$${Find}\:{the}\:{value}\:{of} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\pi} \frac{{x}\mid{sin}\mathrm{2}{x}\mid}{\mathrm{3}+{sin}^{\mathrm{2}} {x}}{dx}. \\ $$

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