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高数_第4章__曲线积分
2022-07-28 04:15:00 【ximanni18】
曲线积分,是将积分概念推广到一段曲线弧
一 对弧长的曲线积分的计算

第一种情况, x为参数的参数方程 :
若曲线L是用直角坐标方程给出的, 即L: y=y(x), a≤x≤b , 则它可以转化为以x为参数的参数方程
(a ≤ x ≤ b), 从而
, 于是

第二种情况, 极坐标参数方程:

看一个例题:

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