主流区无粘流动采用了边界元法计算，粘性流动区采用附面层理论的积分关系式计算。

Boundary element calculation is applied to the main flow field, while integral methods of the boundary layer theory are applied to the viscous layers.

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对教材《高等数学》（同济大学数学教研室主编，第四版）中关于两类平面曲线积分关系证明中的一处疏漏给出补充证明。

This paper makes some supplement for the error in demonstrating the relations between two curve line integrals in the textbook advanced mathematics (edited by Tongji university 4th edition).

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这种方法根据微积分关系，确定曲线的始点、形状和末点，即可直接得到不同外力作用下平面弯曲梁的内力图，简捷且易掌握。

According to the calculus relation, the internal force chart can be gained by confirming the begin points, figure shape, ending points. This method is simple and easy to be grasped.

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