AQA FP1 2011 January — Question 2

Exam BoardAQA
ModuleFP1 (Further Pure Mathematics 1)
Year2011
SessionJanuary
TopicIntegration with Partial Fractions
2
  1. Find, in terms of \(p\) and \(q\), the value of the integral \(\int _ { p } ^ { q } \frac { 2 } { x ^ { 3 } } \mathrm {~d} x\).
  2. Show that only one of the following improper integrals has a finite value, and find that value:
    1. \(\int _ { 0 } ^ { 2 } \frac { 2 } { x ^ { 3 } } \mathrm {~d} x\);
    2. \(\int _ { 2 } ^ { \infty } \frac { 2 } { x ^ { 3 } } \mathrm {~d} x\).
This paper (8 questions)
View full paper
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8