Integral x⁴√x dx jawabannya adalah?

∫x⁴√x dx
=∫x⁴.x^1/2 dx
=∫x^9/2 dx
=2/11 x^11/2

Bab Integral
Matematika SMA Kelas XI

∫ x⁴ √x dx
= ∫ x^4 . x^(1/2) dx
= ∫ (x^(4 + 1/2)) dx
= ∫ (x^(9/2)) dx
= (1)/(9/2 + 1)) . x^(9/2 + 1)
= (1) / (11/2)) . x^(11/2)
= (1 . 2/11) . x^(5 1/2)
= (2/11) . x^5 . x^(1/2)
= (2/11) x⁵ √x + C