integral 9x^2 (√x^3+9)

InTegraL

∫9x² (√x³ + 9) dx
= 9 ∫(x^(2 + 3/2) + 9x²) dx
= 9 ∫(x^7/2 + 9x^2) dx
= 9 (1/(9/2) . x^(9/2) + 9/3 x^3) + C
= 9 (2/9 . x⁴√x + 3x³) + C
= 2x⁴ √x + 27x³ + C