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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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Decompose a function having antiderivatives into bounded components [closed]

Suppose $f:I\rightarrow\mathbb R$ has antiderivatives on an interval $I\subset\mathbb R$. Then $f$ can be decomposed as $f=g+h$, where both $g,h:I\rightarrow\mathbb R$ have antiderivatives. In addi …
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