Question

Integral dari akar x^3 dx =

Answer 1

Verified answer

Int x^3/2 dx
= 1/1+3/2 x^3/2+1
= 2/5 x^5/2

Answer 2

Verified answer

Bab Integral
Matematika SMA Kelas XI

^ = pangkat

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