What is expand (dx)/(x(1000-x)) ?

The solution to expand (dx)/(x(1000-x)) is (dx)/(1000x-x^2)

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expand (dx)/(x(1000-x))

expand

\frac{d x}{x ( 1000 - x )}

\frac{d x}{1000 x - x ^{2}}

Solution steps

\frac{d x}{x ( 1000 - x )}

Expand

x (1000 - x) : 1000 x - x^{2}

= \frac{d x}{1000 x - x ^{2}}

y^{2 (x + 1) (x - 1)}

(1 + i) e^{- 3 i t}

\frac{10}{s ( s ^{2} + 7 s + 10 )}

(x + y) d x + x^{2} + y^{2} d y

x (2 x - 1)^{2} e^{x}

What is expand (dx)/(x(1000-x)) ?
The solution to expand (dx)/(x(1000-x)) is (dx)/(1000x-x^2)