Question

Integral x pangkat 2 akar x dx,bantuin aku ya,aku ngk ngerti

Answer 1

Verified answer

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/(5/2 + 2/2) . x^(5/2 + 2/2)
= 1/(7/2) . x^(7/2)
= (7/2) . x^(7/2)
= (7/2) . x³ . x^(1/2)
= (7/2) x³ √x + C

Answer 2

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

^ = pangkat