AQA FP1 2012 January — Question 2

Exam BoardAQA
ModuleFP1 (Further Pure Mathematics 1)
Year2012
SessionJanuary
TopicIntegration with Partial Fractions

2 Show that only one of the following improper integrals has a finite value, and find that value:
  1. \(\quad \int _ { 8 } ^ { \infty } x ^ { - \frac { 2 } { 3 } } \mathrm {~d} x\);
  2. \(\quad \int _ { 8 } ^ { \infty } x ^ { - \frac { 4 } { 3 } } \mathrm {~d} x\).