Integration by substitution, hyperbolic and logarithmic functions.
[STEP III 2011 Question 6 (Pure)]
Integration by parts
[STEP I 2011 Question 2 (Pure)]
Approximation using binomial expansion, trigonometry.
[STEP II 2008 Question 5 (Pure)]
Integration by substitution.
[STEP I 2003 Question 6 (Pure)]
Substitution, trigonometry.
[STEP II 1993 Question 2 (Pure)]
Integration by substitution, trigonometry, hyperbolic function.
[STEP II 1992 Question 8 (Pure)]
Underground Mathematics: Selected worked STEP questions
STEP Question database
University of Cambridge Mathematics Faculty: What do we look for?
University of Cambridge Mathematics Faculty: Information about STEP
University of Cambridge Admissions Office: Undergraduate course information for Mathematics
Stephen Siklos' "Advanced Problems in Mathematics" book (external link)
MEI: Worked solutions to STEP questions (external link)
OCR: Exam board information about STEP (external link)
AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)