Edexcel P4 2021 January — Question 5

Exam BoardEdexcel
ModuleP4 (Pure Mathematics 4)
Year2021
SessionJanuary
TopicIntegration by Substitution

5. In this question you should show all stages of your working. Solutions relying on calculator technology are not acceptable.
Using the substitution \(u = 3 + \sqrt { 2 x - 1 }\) find the exact value of $$\int _ { 1 } ^ { 13 } \frac { 4 } { 3 + \sqrt { 2 x - 1 } } d x$$ giving your answer in the form \(p + q \ln 2\), where \(p\) and \(q\) are integers to be found.
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