# 100-level Mathematics Revision Exercises

## Integration Methods

These revision exercises will help you practise the procedures involved in integrating functions and solving problems involving applications of integration. Worksheets 1 to 7 are topics that are taught in MATH108. Worksheets 8 to 21 cover material that is taught in MATH109.

- Signed area (solutions)
- Integration by substitution: Indefinite integrals (solutions)
- Integration by substitution: Definite integrals (solutions)
- Integration by parts (solutions)
- Integration by substitution and parts (solutions)
- Reduction formulas (solutions)
- Trigonometric integral formulas (solutions)
- Integration by trig substitution (solutions)
- Integration by substitution: Challenge (solutions)
- Introduction to partial fractions (solutions)
- Integration using partial fractions: One (solutions)
- Integration using partial fractions: Two (solutions)
- Integration using partial fractions: Three (solutions)
- Improper integrals (solutions)
- Integration techniques: Exam questions (solutions)
- Arc length (solutions)
- Revision: Arc length (solutions)
- Revision: Integration by parts (solutions)
- Revision: Trig integral formulas (solutions)
- Revision: Trig substitutions (solutions)
- Revision: Partial fractions (solutions)