請問 ∫ sin(x^2) dx = ?

∫ sin x² dx can't be expressed in elementary function.

2012-09-05 21:57:18 補充：

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001 : 你睇清楚, 唔係 (sinx)^2 , 係 sin(x^2)

∫ 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