Integration, substitution, trigonometry.

[STEP I 2017 Question 1 (Pure)]

Hyperbolic functions.

[STEP III 2014 Question 2 (Pure)]

Logarithmic and arctan integral, substitution of 1/x.

[STEP II 2014 Question 4 (Pure)]

Trigonometry.

[STEP I 2013 Question 4 (Pure)]

Tan substitution.

[STEP II 2012 Question 3 (Pure)]

Logarithmic and trigonometric functions.

[STEP II 2010 Question 4 (Pure)]

Logarithmic and square root function, Volume of revolution.

[STEP I 2010 Question 4 (Pure)]

Polynomial substitution.

[STEP I 2009 Question 6 (Pure)]

Trigonometry.

[STEP III 2007 Question 7 (Pure)]

tan half angle substitution, t-sub, arctan, trigonometry.

[STEP II 2007 Question 3 (Pure)]