交换积分顺序的诀窍在数形结合；
1. 几句顺口溜
- 后积先定限，限内穿条线，先交下限写，后交上限见
- 先积 x，画横线（平行于 x 轴），右减左；
- 先积 y，画竖线（平行于 y 轴），上减下；
2. 简单举例
Examples of changing the order of integration in double integrals
-
∫10∫ey1f(x,y)dxdy.
交换之后，先积 y 划竖线，上减下，则有：
∫e1{∫1lnxf(x,y)dy}dx
二重积分的计算 —— 交换积分顺序（exchange the order of integration）
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转载于:https://www.cnblogs.com/mtcnn/p/9421300.html
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