NEW FUNCTION

Function Expression :

\[f(x)=x.sin(\frac{1}{x} ) \]

Domain

\[\left]-\infty, 0\right[ \cup \left]0, \infty\right[ \]

Limits

\[ \]

Derivate

\[ \]

Integral

\[F(x) = \frac{x^{2} \sin{\left(\frac{1}{x} \right)}}{2} + \frac{x \cos{\left(\frac{1}{x} \right)}}{2} + \frac{\operatorname{Si}{\left(\frac{1}{x} \right)}}{2} \]

Sign Table


Variation Table


Plot


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