> For the complete documentation index, see [llms.txt](https://nothinglin.gitbook.io/kao-yan-bi-ji/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://nothinglin.gitbook.io/kao-yan-bi-ji/wu-ding-ji-fen/ding-ji-fen-de-ying-yong.md).

# 定积分的应用

## 定积分的应用

### 几何应用

### 1、平行图形的面积

![image-20220125195347679](https://NothingLin.coding.net/p/picture/d/picture/git/raw/master/2022/1/25/20220125202639.png)

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### 2、旋转体体积

![image-20220125195415552](https://NothingLin.coding.net/p/picture/d/picture/git/raw/master/2022/1/25/20220125202644.png)

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### 3、曲线弧长

![image-20220125195447005](https://NothingLin.coding.net/p/picture/d/picture/git/raw/master/2022/1/25/20220125202649.png)

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### 4、旋转体侧面积

![image-20220125195518458](https://NothingLin.coding.net/p/picture/d/picture/git/raw/master/2022/1/25/20220125202655.png)

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### 常考题型与经典例题

### 1、用定积分求平面图形的面积

![image-20220125195642090](https://NothingLin.coding.net/p/picture/d/picture/git/raw/master/2022/1/25/20220125202700.png)

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### 2、定积分求极坐标图形面积

![image-20220125195735297](https://NothingLin.coding.net/p/picture/d/picture/git/raw/master/2022/1/25/20220125202708.png)

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### 3、定积分求旋转体的体积

![image-20220125195821652](https://NothingLin.coding.net/p/picture/d/picture/git/raw/master/2022/1/25/20220125202713.png)

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### 4、定积分求旋转体的体积

![image-20220125195941904](https://NothingLin.coding.net/p/picture/d/picture/git/raw/master/2022/1/25/20220125202721.png)

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### 5、定积分求曲线弧长

![image-20220125200021375](https://NothingLin.coding.net/p/picture/d/picture/git/raw/master/2022/1/25/20220125202731.png)