AQA FP1 2005 January — Question 4

Exam BoardAQA
ModuleFP1 (Further Pure Mathematics 1)
Year2005
SessionJanuary
TopicSequences and series, recurrence and convergence

4 For each of the following improper integrals, find the value of the integral or explain briefly why it does not have a value:
  1. \(\quad \int _ { 2 } ^ { \infty } 8 x ^ { - 3 } \mathrm {~d} x\);
    (3 marks)
  2. \(\quad \int _ { 2 } ^ { \infty } \left( 8 x ^ { - 3 } + 1 \right) \mathrm { d } x\);
  3. \(\quad \int _ { 2 } ^ { \infty } 8 x ^ { - 3 } ( x + 1 ) \mathrm { d } x\).