Hasil dari integral (2x – 1)(x² – x + 3)³ dx = …

by

Pembahasan:

∫ (2x – 1)(x² – x + 3)³ dx
Misal: u = x² – x + 3
du = 2x – 1 dx
∫ u³ du
= ¼u⁴ + C
= ¼(x² – x + 3)⁴ + C
  Nilai limit x mendekati 2 (2/x² - 4 – 3/x² + 2x - 8) =