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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
=
𝟏
𝒖 𝟐 𝒅𝒖
= 𝒖−𝟐
𝒅𝒖
= −𝒖−𝟏
+ 𝒄
= −
𝟏
𝟐𝒙−𝟏
+ 𝒄
1 .
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 .
Integral (Soal dan Pembahasan)

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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 .