Integration by substitution, sine, trigonometry.

[STEP II 2002 Question 1 (Pure)]

Trickery, trigonometric functions.

[STEP I 2002 Question 7 (Pure)]

Arctan, integration by substitution.

[STEP II 2001 Question 6 (Pure)]

Derivatives.

[STEP I 2001 Question 5 (Pure)]

t-substitution, tan half angle substitution, trigonometry.

[STEP II 2000 Question 6 (Pure)]

Modulus function, absolute value, trigonometric function, curve sketching.

[STEP I 2000 Question 8 (Pure)]

Substitution of Mobius form, logarithm, nice trick.

[STEP II 1999 Question 6 (Pure)]

Beta function, integration by parts, recurrence formula.

[STEP III 1998 Question 2 (Pure)]

Integration by partial fractions, arctan, logarithm.

[STEP II 1997 Question 3 (Pure)]

Integration by substitution, arctan, trigonometry.

[STEP III 1996 Question 3 (Pure)]