Re: [微積] 高斯符號積分
※ 引述《xy210742 (Sam)》之銘言：
: 各位大大好
: 想請問有關高斯符號是怎樣積分呢
: 例如:積分[t^2] 範圍從0到2
: 希望大大可以解惑一下
: 感恩
[t^2] = 1 => 1 <= t^2 < 2
=> 1 <= t < sqrt(2)
[t^2] = 0 => 0 <= t^2 < 1
=> 0 <= t < 1
[t^2] = 2 => 2 <= t^2 < 3
=> sqrt(2) <= t < sqrt(3)
[t^2] = 3 => 3 <= t^2 < 4
=> sqrt(3) <= t < 2
2
S [t^2]dt
0
= sqrt(2) - 1 + 2[sqrt(3) - sqrt(2)] + 3[2 - sqrt(3)]
= 6 - sqrt(3) - sqrt(2) - 1
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05/05 11:26, , 1F
05/05 11:26, 1F
謝謝，更正。
※ 編輯: Honor1984 (61.56.10.112), 05/05/2017 11:46:59
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