What is expand ((12+10x-2x^2)dx)/(x^3-4x) ?

The solution to expand ((12+10x-2x^2)dx)/(x^3-4x) is (12dx+10xdx-2x^2dx)/(x^3-4x)

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expand ((12+10x-2x^2)dx)/(x^3-4x)

expand

\frac{( 12 + 10 x - 2 x ^{2} ) d x}{x ^{3} - 4 x}

\frac{12 d x + 10 x d x - 2 x ^{2} d x}{x ^{3} - 4 x}

Solution steps

\frac{( 12 + 10 x - 2 x ^{2} ) d x}{x ^{3} - 4 x}

Expand

(12 + 10 x - 2 x^{2}) d x : 12 d x + 10 x d x - 2 x^{2} d x

= \frac{12 d x + 10 x d x - 2 x ^{2} d x}{x ^{3} - 4 x}

\frac{x + 3}{( x - 3 ) ( x + 2 ) ^{2}}

D x (e^{4 x} + cos (3 x))

\frac{3 x ^{2} + 5 x - 13}{( 3 x + 2 ) ( x ^{2} - 4 x + 4 )}

\frac{( x + 2 ) ( x - 3 )}{( x + 3 )}

2 sin (3 t) (u (t - 2))

What is expand ((12+10x-2x^2)dx)/(x^3-4x) ?
The solution to expand ((12+10x-2x^2)dx)/(x^3-4x) is (12dx+10xdx-2x^2dx)/(x^3-4x)