Hasil ₋₁²∫ (2x – 3 )² dx
adalah
25
Pembahasan:
₋₁²∫ (2x – 3 )²
= ₋₁²∫ (2x – 3 )(2x – 3) dx
= ₋₁²∫ 4x² – 12x + 9 dx
= [4 · ⅓x³ – 12 · ½x² + 9x]²₋₁
= [⁴/₃x³ – 6x² + 9x]²₋₁
= [⁴/₃ · 2³ – 6 · 2² + 9 · 2]–[⁴/₃ · -1³ – 6·-1² + 9·-1]
= [⁸/₃ – 24 + 18] – [–⁴/₃ – 6 – 9]
= ⁸/₃ – 24 + 18 + ⁴/₃ + 6 + 9
= 4 + 6 + 15
= 25