Differentiability – primitive – integrals exercice

Please check the attached files.

There is a french exercice which I translated in english. You might need to solve it by looking at the original to not skip anything, but if there is something unclear, please reffer to the traduction.

Please include ALL the calculs, demonstrations and the theories you reffer to, also I hope that you can guarantee 99%-100% correct and full answers.

Thank you.

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