Based on Darboux theory, this paper discussed the integrability of the Riemann Integral and provides a necessary and sufficient condition for integrability.
文章利用达布和理论，讨论了黎曼积分的可积性问题，给出了一个可积的充分必要条件。
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A new integrable condition in a kind of special Abel equation is given in this paper. We can realize the special Abel equation integrability and accurate solution by computer.