21 lines
895 B
Markdown
21 lines
895 B
Markdown
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---
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title: Area-between-a-curve-and-X-axis
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localeTitle: 区域之间-A-曲线和X轴
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---
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## 曲线和X轴之间的区域
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为了找到曲线和x轴之间的区域,最优选的工具是给定曲线的[明确积分](https://www.mathsisfun.com/calculus/integration-definite.html) 。
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为了找到x = a和x = b之间的曲线y = f(x)下面积,在a和b的极限之间积分y = f(x)。
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![IMG](https://upload.wikimedia.org/wikipedia/commons/f/f2/Integral_as_region_under_curve.svg)
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![IMG](https://latex.codecogs.com/gif.latex?%5Clarge%20S%20%3D%20%5Cint_%7Ba%7D%5E%7Bb%7D%20f%28x%29%20dx)
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## 一些例子
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注意:x轴下的区域将为负,x轴上方的区域将为正。这意味着在找到部分高于和部分低于x轴的区域时必须小心。
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#### 更多信息:
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* [曲线下区域的互动课程](https://www.intmath.com/applications-integration/2-area-under-curve.php)
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