CAIE P3 2021 November — Question 9

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2021
SessionNovember
TopicIntegration by Substitution
  1. Find the \(x\)-coordinate of the stationary point of the curve with equation \(y = \mathrm { f } ( x )\).
  2. Using the substitution \(u = \sqrt { x }\), show that \(\int _ { 0 } ^ { 4 } \mathrm { f } ( x ) \mathrm { d } x = \frac { 1 } { 3 } \ln 5\).
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