Edexcel F3 2014 June — Question 1

Exam BoardEdexcel
ModuleF3 (Further Pure Mathematics 3)
Year2014
SessionJune
TopicChain Rule
  1. Given that \(y = \arctan \left( \frac { 2 x } { 3 } \right)\),
    1. find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\), giving your answer in its simplest form.
    2. Use integration by parts to find
    $$\int \arctan \left( \frac { 2 x } { 3 } \right) \mathrm { d } x$$
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