Please show alll workings~
Q1) Find the area enclosed between the curve y = x^2 +2 and the line y =6. Please use the concept of integration to solve the answer.
angry~ can't upload the diagram, anyway, u can figure it out.
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2011-04-24 8:00 pm
回答 (1)
2011-04-25 3:33 am
✔ 最佳答案
Firstly, find the x-axis of points of intersection of 2 lines.y = x^2 +2
y =6
x^2 +2=6
x^2 =4
x =2 or -2
Integrate along x-axis:
Area
=∫(-2 to 2) ((6)-(x^2 +2)) dx
=∫(-2 to 2) (6-x^2 -2) dx
=∫(-2 to 2) (4-x^2) dx
=[4x-(x^3)/3] (-2 to 2)
=[4(2)-(2^3)/3]-[4(-2)-((-2)^3)/3]
=(8-8/3)-(-8-(-8/3))
=32/3
2011-04-24 19:35:22 補充：
也可以用"Integrate along y-axis"的方法不過繁複d...
如果你想知道，我也可以做出來...
希望幫到你..
參考: me
收錄日期: 2021-04-23 20:44:58
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110424000051KK00284