Integral 2x + 3 per akar 3x kuadrat +9x -1 dx
∫(2x+3) / (3x² +9x -1) dx
u = 3x² + 9x – 1
du/dx = 6x + 9
du/dx = 3(2x + 3)
2x + 3 dx = 1/3 du
∫(2x+3)/ (3x²+ 9x -1) dx = ∫1/3 . u⁻¹ du
= 1/3 Ln (3x²+9x-1) + c
….
Integral 2x + 3 per akar 3x kuadrat +9x -1 dx
∫(2x+3) / (3x² +9x -1) dx
u = 3x² + 9x – 1
du/dx = 6x + 9
du/dx = 3(2x + 3)
2x + 3 dx = 1/3 du
∫(2x+3)/ (3x²+ 9x -1) dx = ∫1/3 . u⁻¹ du
= 1/3 Ln (3x²+9x-1) + c
….