Tolong di bantu, pleaseeeee. Perlu besok dan belum siap
Matematika
Vonna17
Pertanyaan
Tolong di bantu, pleaseeeee. Perlu besok dan belum siap
2 Jawaban
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1. Jawaban Anonyme
jawab
∫²₁ (x³ - 1/x³) dx + ₂⁵∫ (x³ - 1/x³) dx =
= ₁⁵ ∫ (x³ - x⁻³) dx
= [ 1/4 x⁴ + 1/2 x⁻²]⁵₁
= 1/4 (x⁴) + 1/2 (1/x²) ]⁵₁
= 1/4 (5⁴ -1⁴) + 1/2 { 1/25 - 1/1}
= 1/4 (624) + 1/2 (- 24/25)
= 156 - 12/25
= 155 ¹³/₂₅
(5)
∫ 3x (2x² - 1)² dx
u = 2x² - 1
du = 4x dx
3x dx = 3/4 du
∫ 3/4 u² du =
= 3/4 . 1/3 . u³ + c
= 1/4 (2x² -1)³ + c -