IB skill practice

Use reduction formulae

Apply and interpret reduction formulae for repeated integration patterns.

Paper 1, Paper 2 5 marks Difficulty 5

Use reduction formulae - visual final audit

For \(I_n=\int_0^{\pi/2}\sin^n x\,dx\), enter the coefficient of \(\pi\) in \(I_4\).

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.