Function Expression :
\[f(x)=1+ln(2x-1 ) \]Domain
\[\left]\frac{1}{2}, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow\frac{1}{2}} }f(x) = -\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
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Derivate
\[f^{\,\prime}(x)=\frac{2}{2 x - 1} \]\[f^{\,\prime}(x)=\frac{2}{2 x - 1} \]
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Integral
\[F(x) = x \log{\left(2 x - 1 \right)} - \frac{\log{\left(2 x - 1 \right)}}{2} \]Sign Table
Variation Table
Plot
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