What is expand (e^x)/((1-e^x)^2*dx) ?

The solution to expand (e^x)/((1-e^x)^2*dx) is (e^x)/(dx-2e^xdx+e^{2x)dx}

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expand (e^x)/((1-e^x)^2*dx)

expand

\frac{e ^{x}}{( 1 - e ^{x} ) ^{2} \cdot d x}

\frac{e ^{x}}{d x - 2 e ^{x} d x + e ^{2 x} d x}

Solution steps

\frac{e ^{x}}{( 1 - e ^{x} ) ^{2} d x}

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

= \frac{e ^{x}}{( - 2 e ^{x} + e ^{2 x} + 1 ) d x}

Expand

(1 - 2 e^{x} + e^{2 x}) d x : d x - 2 e^{x} d x + e^{2 x} d x

= \frac{e ^{x}}{d x - 2 e ^{x} d x + e ^{2 x} d x}

ro t a c i o na l (y e^{x y} sin (yz) + 1, - y)

(x^{2} y^{3} - \frac{1}{1 - 9 x ^{2}}) d x + (x^{3} y^{2}) d y

\frac{3}{4} (x^{2} - 1) (x - 2) (x - e)

16 π - (4 (\frac{16 π}{3} - 43))

\frac{x ^{4} + 1}{( x + 2 ) ^{2}}

What is expand (e^x)/((1-e^x)^2*dx) ?
The solution to expand (e^x)/((1-e^x)^2*dx) is (e^x)/(dx-2e^xdx+e^{2x)dx}