Integration by parts

Trigonometric and exponential functions, sum to product formula.

[STEP I 2009 Question 7 (Pure)]

Recurrence formula, greatest value, inequality, logarithm.

[STEP III 2004 Question 7 (Pure)]

Recurrence formula, trigonometric integral.

[STEP II 1998 Question 4 (Pure)]

Recurrence formula.

[STEP III 1995 Question 2 (Pure)]

Reduction formula, hyperbolica functions.

[STEP III 1994 Question 1 (Pure)]

Polynomials, nth derivatives, degree of polynomials.

[STEP II 1994 Question 2 (Pure)]

Identity.

[STEP II 1990 Question 8 (Pure)]

Trigonometric function, sine, cosine function, recurrence relation, iteration, odd, even.

[STEP II 1987 Question 2 (Pure)]

Recurrence relation, integral, sech, hyperbolic function.

[STEP III Specimen Question 6 (Pure)]