請問 ∫ sin(x^2) dx = ?
回答 (3)
2012-09-06 5:57 am
✔ 最佳答案
∫ sin x² dx can't be expressed in elementary function.2012-09-05 21:57:18 補充：
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參考: My Maths World
2012-09-06 4:06 am
001 : 你睇清楚, 唔係 (sinx)^2 , 係 sin(x^2)
2012-09-06 3:22 am
∫ sin(x^2) dx
Double Angle Formulae : sin(A^2) --> 0.5 (1 - cos 2A)
= ∫ 0.5 ( 1- cos 2X) dx
= ∫ 0.5 dx - 0.5 ∫ cos2X dx
= 0.5X - [ (0.5)(0.5) ∫ cos2X d(2x) ]
= 0.5X - 0.25 sin 2X
Double Angle Formulae : sin(A^2) --> 0.5 (1 - cos 2A)
= ∫ 0.5 ( 1- cos 2X) dx
= ∫ 0.5 dx - 0.5 ∫ cos2X dx
= 0.5X - [ (0.5)(0.5) ∫ cos2X d(2x) ]
= 0.5X - 0.25 sin 2X
參考: nothing
收錄日期: 2021-04-13 18:57:22
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20120905000051KK00464