Integration by parts, recurrence relation, reduction formula, curve sketching, area under curve.

[STEP III 1992 Question 6 (Pure)]

Logarithm, trigonometry, analysis, inequality, limits.

[STEP III 1991 Question 7 (Pure)]

Analysis, curve sketching, tangent function, sum, logarithm function.

[STEP II 1991 Question 5 (Pure)]

Integration by substitution, inverse function, geometrical interpretation.

[STEP II 1989 Question 6 (Pure)]

Logarithm function, approximating area, rectangle, limit.

[STEP I 1989 Question 2 (Pure)]

Definite integral, trapezium rule, intervals, logarithm, factorial function, curve sketching, stirling's approximation.

[STEP II 1987 Question 7 (Pure)]

Integral of functions, geometrical argument, inequality, trigonometric and inverse function, differentiation.

[STEP I 1987 Question 6 (Pure)]

Coordinate geometry, circles, area of region, limit.

[STEP I 1987 Question 2 (Pure)]