STEP Integration Questions

Stage: 5
The table below shows some STEP questions that have elements which can be solved using integration. This is by no means an exhaustive list, just a suggestion of some questions you might like to try as part of your STEP prep integration practice.

STEP past papers can be accessed here.
It is best to have a go at questions, and perhaps leave them and come back to them if you get stuck.
Do not look at answers or hints before really getting stuck in!
We have provided worked answers to some of the questions, with some hints in red. This is not a 'model solution' or 'perfect answer'; it was written by a student to give you an idea of what a 'good' solution to a question might look like. You can find our complete set of worked answers here.

Some of these questions might require integrating functions that you haven't come across yet. If you've not yet met the hyperbolic functions sinh, cosh and tanh yet, you might be interested in the problem Gosh Cosh.

Year Paper Question number Worked answer
2004 I 2 -
2004 I 4 -
2004 II 5 -
2004 III 1 -
2005 I 5 -
2005 II 3 -
2005 III 7 -
2006 I 5 -
2006 II 4 -
2007 II 3 -
2007 III 7 -
2008 I 6 -
2008 II 5 -
2008 III 4 -
2009 I 6 see article
2009 II 5 -
2010 I 4 2010_I_4.pdf
2010 II 2 2010_II_2.pdf
2010 II 4 2010_II_4.pdf
2010 III 2 2010_III_2.pdf