Sin 1 over x/Primitive function/Consider x^2 cos 1 over x/Exercise

We consider the function

$f\colon \mathbb {R} \longrightarrow \mathbb {R} ,t\longmapsto f(t),$

with

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Show, with reference to the function

${}g(x)=x^{2}\cos {\frac {1}{x}}\,,$

that ${}f$ has an antiderivative.

Create a solution