In this final, more advanced section, we apply our knowledge of partial fractions to simplify and solve integrals, as well as utilising integration by substitution to convert difficult integrals to easier ones.
Attempt these exercises from memory first, without consulting any resources or using a calculator, except to verify your answers afterwards. Test what you recall before turning to any aids.
Self Evaluation: Check your answers using the worked solutions below.
If you were able to answer all the questions confidently, you are prepared for the subjects in the upcoming section. If you encountered any difficulties, refer to the HELM workbooks provided below to review the topics.
You may wish to consider doing additional practice. Utilize the HELM workbooks provided below to practice as much as you desire.
Interactive Questions from Maths E.G.
These were originally developed by Martin Greenhow and Abdul Rahman Kamavi at the Department of Mathematical Sciences, Brunel University, UK and released under a CC Licence.