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Hi

Does anyone know how to integrate (sinx)^2?

Thanks

2007-07-28 06:08:55 · 3 answers · asked by nowandnever8 1 in Science & Mathematics Mathematics

3 answers

cos 2 x= cos ² x - sin ² x
cos 2 x = 1 - 2 sin ² x
2 sin ² x = 1 - cos 2 x
I = ∫ sin ² x = ∫ 1 / 2 - (1 / 2) cos 2 x dx
I = (1 / 2) x - (1 / 4) sin 2 x + C

2007-07-28 07:18:24 · answer #1 · answered by Como 7 · 0 0

First use this identity:

(sinx)^2 = (1/2)(1 - cos (2x))

and work with that:

INTEGRAL((1/2) (1 - cos (2x))) =

(1/2) (x - (1/2)Sin(2x)) + C

2007-07-28 06:15:25 · answer #2 · answered by dan G 2 · 2 0

this is not syntax.
= + lose the ?.

2007-07-30 16:05:38 · answer #3 · answered by Anonymous · 0 1

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