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Question Number 133979 by Ñï= last updated on 26/Feb/21

∫_0 ^(π/4) ((sin^2 xcos^2 x)/((sin^3 x+cos^3 x)^3 ))dx=?

$$\int_{\mathrm{0}} ^{\pi/\mathrm{4}} \frac{{sin}^{\mathrm{2}} {xcos}^{\mathrm{2}} {x}}{\left({sin}^{\mathrm{3}} {x}+{cos}^{\mathrm{3}} {x}\right)^{\mathrm{3}} }{dx}=? \\ $$

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