对弧长的曲线积分：第一类曲线积分计算法
发布时间：2018-06-27 02:29:31
物理意义：不均匀曲线质量=密度函数*弧长因子
![](https://wkrtcs.bdimg.com/rtcs/image?w=553.73&md5sum=11e257351f9ecdae0a071f4ad54a960b&sign=a943eceef1&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=53&ipr={"t":"img","r":"r_2","w":"553.73","h":"222.78","dataType":"png","c":"word/media/image1.png","imgOriW":599,"imgOriH":241})
1 直角方程：化dx，y=f(x)，以x为限
![](https://wkrtcs.bdimg.com/rtcs/image?w=546.00&md5sum=11e257351f9ecdae0a071f4ad54a960b&sign=a943eceef1&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=53&ipr={"t":"img","r":"r_2","w":"546.00","h":"147.00","dataType":"png","c":"word/media/image2.png","imgOriW":546,"imgOriH":147})
2 参数方程：化dt，根据给的附加L方程将y与x化参，以t角度为限，偏心圆周的t（0，2pi），（3D）（注意与极坐标的区别）
![](https://wkrtcs.bdimg.com/rtcs/image?w=553.73&md5sum=11e257351f9ecdae0a071f4ad54a960b&sign=a943eceef1&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=53&ipr={"t":"img","r":"r_2","w":"553.73","h":"200.12","dataType":"png","c":"word/media/image3.png","imgOriW":570,"imgOriH":206})
根据给的附加L（每段弧长x，y的关系）将y与x化参（或不化）
复杂时先求弧长因子
![](https://wkrtcs.bdimg.com/rtcs/image?w=593.00&md5sum=11e257351f9ecdae0a071f4ad54a960b&sign=a943eceef1&rtcs_flag=2&rtcs_ver=3.1&l=webapp&bucketNum=53&ipr={"t":"img","r":"r_2","w":"593.00","h":"80.00","dataType":"png","c":"word/media/image4.png","imgOriW":666,"imgOriH":80})
3 极坐标方程：化dθ，x=rcosθ，y=r sinθ，
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