What is x/2 ln((1+x)/(1-x))-1 ?

The solution to x/2 ln((1+x)/(1-x))-1 is (xln((1+x)/(1-x)))/2-1

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simplify x/2 ln((1+x)/(1-x))-1

simplify

\frac{x}{2} ln (\frac{1 + x}{1 - x}) - 1

\frac{x ln ( \frac{1 + x}{1 - x} )}{2} - 1

Solution steps

\frac{x}{2} ln (\frac{1 + x}{1 - x}) - 1

Multiply

\frac{x}{2} ln (\frac{1 + x}{1 - x}) : \frac{x ln ( \frac{x + 1}{- x + 1} )}{2}

= \frac{x ln ( \frac{x + 1}{- x + 1} )}{2} - 1

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

\frac{d y}{d x} = \frac{y}{2 x}

n = 1 \sum \infty \frac{n !}{n ^{2} + 1}

n = 1 \sum \infty 0. 8^{n}

What is x/2 ln((1+x)/(1-x))-1 ?
The solution to x/2 ln((1+x)/(1-x))-1 is (xln((1+x)/(1-x)))/2-1