INTEGRAL

Created by:Agatha – Elra – Indri – Winda

XII PSIA 2 – SMAN 2 Argamakmur

𝟐(𝟐𝒙−𝟏)𝟐 𝒅𝒙 𝑴𝒊𝒔𝒂𝒍 ∶ 𝒖= 𝟐𝒙− 𝟏 𝒅𝒖 = 𝟐 𝒅𝒙 = 𝒅𝒖(𝒖)𝟐 = 𝟏𝒖𝟐 𝒅𝒖 = 𝒖−𝟐 𝒅𝒖 = −𝒖−𝟏 + 𝒄 = − 𝟏𝟐𝒙−𝟏 + 𝒄

1 .

𝒙 (𝟖𝒙𝟐 𝟏𝟎 − 𝟏)𝟒𝒅𝒙 𝑴𝒊𝒔𝒂𝒍 ∶ 𝒖= 𝟖𝒙𝟐 − 𝟏 𝒅𝒖= 𝟏𝟔𝒙 𝒅𝒙 𝒅𝒖𝟏𝟔 = 𝒙 𝒅𝒙 = න𝟏𝟎 𝒖𝟒 𝒅𝒖𝟏𝟔 = 𝒖𝟒 𝒅𝒖 𝟏𝟎𝟏𝟔= 𝟏𝟎𝟏𝟔 (𝟏𝟓 𝒖𝟓) + c = 𝟓𝟖 ( 𝟏𝟓(𝟖𝒙𝟐 − 𝟏)𝟓) + 𝒄

2 .

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