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∫−π/2π/212007x+1⋅sin2008xsin2008x+cos2008x dx= ? \large \int_{-\pi/2}^{\pi /2} \dfrac1{2007^x + 1} \cdot \dfrac{\sin^{2008} x}{\sin^{2008}x + \cos^{2008} x} \, dx = \, ? ∫−π/2π/22007x+11⋅sin2008x+cos2008xsin2008xdx=?
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