∫ x²√x dx itu jawaban dan caranya gimana ya tolong bantuin

Bab Integral
Matematika SMA Kelas XI

∫ x² √x dx
= ∫ (x² . x^(1/2)) dx
= ∫ (x^(2 + 1/2)) dx
= ∫ (x^(5/2)) dx
= (1/(5/2 + 1)) . x^(5/2 + 1)
= (1/(7/2)) . x^(7/2)
= (2/7) . x^(7/2)
= (2/7) . x^(3 1/2)
= (2/7) x³ . √x + C

∫ x²√x dx
= ∫ x^5/2 dx
= 1/(5/2+1) x^(5/2+1) +C
= 2/7 x^7/2 + C