Tolong jawab pertanyaan tugas matematika integral tak tentu ∫x(√x+1/(√x)dx

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