Final-Year Integral Calculus Course
In this final-year integral calculus course, students master complex integration techniques including improper integrals, special functions, trigonometric substitutions, and partial fractions. The programme emphasises error avoidance, strategic problem-solving, and analytical verification to confidently address sophisticated real-world mathematical challenges, building a robust foundation for higher studies and applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This advanced final-year integral calculus course equips learners with sophisticated integration methods, strategic approaches, and precise error checking. Participants will excel in integration by parts, trigonometric substitution, partial fractions, improper integrals, and special functions, gaining skills to validate solutions, manage parameters, and apply symbolic tools for efficient resolutions in demanding mathematical scenarios.
Elevify advantages
Develop skills
- Master advanced integration by parts for inverse, trigonometric, and special functions.
- Decompose rational functions using partial fractions while sidestepping common algebraic pitfalls.
- Employ trigonometric substitutions and Weierstrass techniques for rapid resolution of challenging integrals.
- Evaluate improper integrals through strict convergence tests and connections to special functions.
- Develop targeted strategies for multi-step integrals with thorough analytical verification.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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