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UFM Pure
Integration with Partial Fractions
Q4
AQA FP3 2013 January — Question 4
Exam Board
AQA
Module
FP3 (Further Pure Mathematics 3)
Year
2013
Session
January
Topic
Integration with Partial Fractions
4
Explain why \(\int _ { 0 } ^ { 1 } x ^ { 4 } \ln x \mathrm {~d} x\) is an improper integral.
(l mark)
Evaluate \(\int _ { 0 } ^ { 1 } x ^ { 4 } \ln x \mathrm {~d} x\), showing the limiting process used.
(6 marks)
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