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Jumat, 01 November 2013

Mencari sin^2(x) . cos^2(x) [sin kuadrat x dikali cos kuadrat x]

sin (2x) = 2 sin (x) . cos (x)

sin^2 (x) . cos^2 (x) = (sin (x) . cos (x))^2 = (sin (2x) / 2)^2 = sin^2 (2x) / 4
sin^2 (2x) / 4.
sin^2 (2x) = (1 - cos (4x)) / 2.
sin^2 (2x) / 4 = (1 - cos (4x)) / 8 = 1/8 - 1/8 cos (4x).
1/8 - 1/8 cos (4x)
x/8 - 1/32 sin (4x) + C

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sumber : http://answers.yahoo.com/question/index?qid=20080122202240AAkBeDU

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