Week 6: Integration by substitution and by using partial fractions, trigonometric functions

Our final week covers two distinct topics: some further techniques for integration and some revision of trigonometry including radians and the graphs of the trigonometric functions.

Good luck on your final week!

Download questions

Self-evaluation

How did you get on with the questions?

You can check your answers here with the worked solutions‌.

If you could confidently solve all the questions, you have completed the badge - congratulations! Scroll to the bottom of the page for instructions on what to do next.
If you had some issues with the questions, use the HELM workbooks below to revise the topics for this week.

HELM workbooks

You might like to do some extra practice. Use the HELM workbooks and interactive questions below to do as much practice as you like. Use your lboro login details and enrol with key 'HELM2020' to access the interactive questions.

 

Next step

In order for this to count towards your final Badge, you must go into the ready Set Loughborough Badge in the Personal Best app to confirm you have completed the 6 week maths activity. Click below to be directed to the Personal Best app.

Personal Best

Additional resources

Engineering First Aid Kit Leaflets

8.11 Integration by substitution
8.12 Integration as summation
4.1 Degrees and Radians
4.2 The Trigonometrical Ratios
4.3 Graphs of the Trig functions

Interactive Questions from MathsE.G.

developed by Martin Greenhow and Abdul Rahman Kamavi at the Department of Mathematical Sciences, Brunel University, UK and released under a CC Licence

Congratulations!

You have successfully finished the 6 week Ready Set Loughborough badge for Maths!

'To register this achievement in the Ready Set Loughborough Badge click here.