∫[-π/2~π/2](sinx/(cosx+x^2))dx

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∫[-π/2~π/2](sinx/(cosx+x^2))dx∫[-π/2~π/2](sinx/(cosx+x^2))dx∫[-π/2~π/2](sinx/(cosx+x^2))dx被积函数是奇函数,在

∫[-π/2~π/2](sinx/(cosx+x^2))dx
∫[-π/2~π/2](sinx/(cosx+x^2))dx

∫[-π/2~π/2](sinx/(cosx+x^2))dx
被积函数是奇函数,在对称区间上积分是0.