Integration by substitution

Trigonometry, modulus function, change of period.

[STEP II 2006 Question 4 (Pure)]

Polynomial substitution, exponential and logarithms.

[STEP I 2006 Question 5 (Pure)]

Polynomial substitution.

[STEP III 2005 Question 7 (Pure)]

Hyperbolic functions, exponential and logarithms, partial fractions.

[STEP III 2004 Question 1 (Pure)]

Differentiation, trigonometric substitution.

[STEP I 2004 Question 4 (Pure)]

Substitution by trigonometric functions.

[STEP III 2000 Question 2 (Pure)]

Logarithmic, trigonometric functions, change of variables, phase.

[STEP I 1994 Question 8 (Pure)]

Trigonometry, sine function.

[STEP I 1993 Question 4 (Pure)]

Trigonometric integral, sin substitution, arcsin function.

[STEP I 1991 Question 8 (Pure)]