Find the area of the shaded region foreach of the following figures.
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F.5 Maths
2011-04-03 8:28 am
回答 (1)
2011-04-03 8:55 am
✔ 最佳答案
Step 1: x^2 = 1/x => x = 1So, the interestion point of y = x^2 and y = 1/x is (1,1)
Step 2: It is obviously that integrate w.r.t y will be better.
y = x^2 and y = 1/x become x = √y and x = 1/y
The area is
∫ [1->3] (√y - 1/y) dy
= (2/3)y^(3/2) - lny | [1,3]
= (2/3)[3^(3/2) - 1] - ln3
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原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110403000051KK00020