IB skill practice

Use improper integrals

Evaluate improper integrals and determine convergence in context.

Paper 1, Paper 2 5 marks Difficulty 3

Use improper integrals - visual coefficient link

Evaluate \(\int_1^{\infty}x^{-3}\,dx\).

Worked practice: result and interpretation

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