Corrected Exercise – Integral Calculus: Integration by Parts

📘 Corrected Exercise Sheet – Integral Calculus (Integration by Parts )

This document offers a series of corrected exercises dedicated to the calculation of integrals, with a focus on two fundamental techniques: integration by parts and change of variables.

The exercises range from revising basic concepts to tackling exam-level problems. Each solution is developed step by step, with theoretical reminders (formulas, conditions of application) and methodological remarks to reinforce understanding and improve rigor in proofs.

📌 Contents:

• Direct application exercises to master integration by parts formulas.
• Examples of common substitutions (trigonometric, rational).
• Problems combining multiple techniques and simplification tricks.
• Detailed solutions with comments on critical steps and possible alternatives.

🎯 Target audience:

Undergraduate students (L1–L3), preparatory classes, or anyone wishing to strengthen their integral calculus methods.

By working through this sheet, you will improve your mastery of integration techniques, gain confidence in choosing the appropriate method, and be better prepared for exercises encountered in exams or competitive exams.

📂 The complete file with solutions is available through the following links:

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