Hasil dari. (X^2 + 3)^2 -------------- dx = X^2 Mohon bantuanya

jawab

∫ (x² +3)²/(x² dx

= ∫ (x² + 3)² (x⁻²)  dx

= ∫ (x⁴ + 6x² +9)(x⁻²) dx

= ∫ (x² + 6 + 9x⁻²) dx

= 1/3 x³ + 6x - 3x⁻³  + c

= 1/3 x³ + 6x - 3/(x³) + c

= (x³ + 18 x - 9) / (3x³) + c