Function Expression :
\[f(x)=sin(ln x-1 ) \]Domain
\[\left]0, \infty\right[ \]Limits
\[\lim_{x \overset{>}{\rightarrow0} }f(x) = \left\langle -1, 1\right\rangle \]\[\lim_{x \rightarrow+\infty}f(x) = \left\langle -1, 1\right\rangle \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{\cos{\left(\log{\left(x \right)} - 1 \right)}}{x} \]\[f^{\,\prime}(x)=\frac{\cos{\left(\log{\left(x \right)} - 1 \right)}}{x} \]
\[ \]
Integral
\[F(x) = \int \sin{\left(\log{\left(x \right)} - 1 \right)}\, dx \]Sign Table
Variation Table
Plot
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