计算对弧长的曲线积分,求详解。
如题所述
![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/0df431adcbef76090055882c2bdda3cc7cd99e22?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
追问亲,你这写的啥
追答X=pcos Y=psin
追问![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/b3fb43166d224f4a2c9d6ea00cf790529822d178?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
你看看我写的对不对
追答![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/9f510fb30f2442a76becf916d443ad4bd01302a6?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
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计算对弧长的曲线积分 ∫[L]x^2yzds其中为折线,这里A,B,C,D,依次为...答:(0,0,0),(0,0,2)的时候x=y=0积分为0 (0,0,2),(1,0,2)的时候y=0积分为0 (1,0,2),(1,3,2)的时候ds = √dx^2+dy^2+dz^2 = dy ∫x^2yzdy = x^2z ∫ydy = 1/2x^2y^2z = 3^2-0 = 9