If $(I={\int }_{0}^{\frac{\pi }{2}}\frac{{\sin }^{\frac{3}{2}}x}{{\sin }^{\frac{3}{2}}x+{\cos }^{\frac{3}{2}}x}dx),$ then $({\int }_{0}^{2I}\frac{x\sin x\cos x}{{\sin }^{4}x+{\cos }^{4}x}dx)$ equals:

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If \((I={\int }_{0}^{\frac{\pi }{2}}\frac{{\sin }^{\frac{3}{2}}x}{{\sin }^{\frac{3}{2}}x+{\cos }^{\frac{3}{2}}x}dx),\) t…

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