Re: [積分] 97 元智資工 曲線弧長

作者: a016258 (憨)   2015-11-19 16:41:38
※ 引述《EggAche (蛋疼)》之銘言:
: 4. Find the arc length for the curve y = x^2 - lnx taking from x = 1
: to x = 3
: y'(x) = 2x - 1/x
: Length = ∫ds = ∫√[1+(y')^2] dx from 1 to 3
: 似乎沒辦法積出來?也不太容易改成以 dy 積分?
考試遇到的時候,就放棄好了...
做這一題 搞不好其他可以做五題~
=> ∫ √[1 + (2x - 1/x)^2] dx
√(4x^4 - 3x^2 + 1)
= ∫

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