Harap bantuannya tentang integral soal tertera digambar
Matematika
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Pertanyaan
Harap bantuannya tentang integral soal tertera digambar
1 Jawaban
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1. Jawaban DB45
integral dgn substitusi
∫ (4x-3) (6x -4x²)⁻²/³ dx
u = 6x - 4x²
du/dx= 6 - 8x = -2(4x -3)
4x-3 dx = -¹/₂ du
∫(4x-3) (6x-4x²)⁻²/3 dx = ∫ -¹/₂ (u)⁻²/³ du
= - ¹/₂ (3)(u)¹/³ + c
= - ³/₂ ∛u + c
= - ³/₂ ∛(6x - 4x²)