Tentukan nilai y jika dy/dx=x²+2x-5/x²

y=1/3x³+x²+5/x
pangkat dinaikkan semua

dy/dx = x^2 + 2x - 5/x^2
y' = x^2 + 2x - 5x^-2
y = integral (x^2 + 2x - 5x^-2) dx
y = 1/3 x^3 + 2/2 x^2 - 5/(-1) x^-1 + C
y = (1/3) x^3 + x^2 + 5/x + C