高数二重积分问题,求大神~
如题所述
![](https://video.ask-data.xyz/img.php?b=https://iknow-pic.cdn.bcebos.com/9c16fdfaaf51f3dee5efbbac9deef01f3b29799c?x-bce-process=image%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_auto)
代入极坐标转换的基本关系式即可
追问谢谢你~
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高数,二重积分,我需要详细步骤,谢谢(๑•ั็ω•็ั...答:f(x, y) = xy + A 积分域 D 的面积 σ = ∫<0, 1> x^2dx = 1/3 f(x, y) = xy + A 两边在 D 上积分,得 A = ∫∫<D>xydxdy + Aσ = ∫<0, 1>xdx∫<0, x^2>ydy + A/3 = (1/2)∫<0, 1>x^5dx + A/3 = 1/12 + A/3 2A/3 = 1/12, A = ...