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Integral (Soal dan Pembahasan)
1.
INTEGRAL Created by: Agatha –
Elra – Indri – Winda XII PSIA 2 – SMAN 2 Argamakmur
2.
𝟐 (𝟐𝒙−𝟏) 𝟐 𝒅𝒙
𝑴𝒊𝒔𝒂𝒍 ∶ 𝒖 = 𝟐𝒙 − 𝟏 𝒅𝒖 = 𝟐 𝒅𝒙 = 𝒅𝒖 (𝒖) 𝟐 = 𝟏 𝒖 𝟐 𝒅𝒖 = 𝒖−𝟐 𝒅𝒖 = −𝒖−𝟏 + 𝒄 = − 𝟏 𝟐𝒙−𝟏 + 𝒄 1 .
3.
𝟏𝟎 𝒙 (𝟖𝒙
𝟐 − 𝟏) 𝟒 𝒅𝒙 𝑴𝒊𝒔𝒂𝒍 ∶ 𝒖 = 𝟖𝒙 𝟐 − 𝟏 𝒅𝒖 = 𝟏𝟔𝒙 𝒅𝒙 𝒅𝒖 𝟏𝟔 = 𝒙 𝒅𝒙 = 𝟏𝟎 𝒖 𝟒 𝒅𝒖 𝟏𝟔 = 𝟏𝟎 𝟏𝟔 𝒖 𝟒 𝒅𝒖 = 𝟏𝟎 𝟏𝟔 ( 𝟏 𝟓 𝒖 𝟓 ) + c = 𝟓 𝟖 ( 𝟏 𝟓 (𝟖𝒙 𝟐 − 𝟏) 𝟓 ) + 𝒄 2 .
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