integral x pangkat dua cos 2x d
Matematika
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Pertanyaan
integral x pangkat dua cos 2x d
1 Jawaban
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1. Jawaban Robinn
∫x² cos2x
u = x²
u' = 2x
v = cos2x
v' = sin2x . 2
v' = 2sin2x
∫x² cos2x
= u'v + v'u
= 2x . cos2x + 2sin2x . x²
= 2x cos2x + 2x² sin2x
= 2x (cos2x + xsin2x)