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如何用微积分求圆的面积

更新时间: 2021-03-23 16:35:14     

1、建立坐标系,以圆的圆心为原点,建立一个坐标系。

2、将圆沿y轴划分成条状,设圆的半径为R,离x轴任意y处,条状圆宽为dy,那么该条状(矩形)的面积为2√(R^2-y^2)dy。

3、对这个式子进行积分,下限为-R,上限为R,可以计算出圆的面积为πR^2。

关键词: 何用 微积分 面积

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