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??? - 2015 Q6

6.
(i) Given that y > 0, find
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(6)
(ii) (a) Use the substitution x = 4sin2θ to show that
where Ȝ is a constant to be determined. (5)

​(b) Hence use integration to find
giving your answer in the form aπ + b, where a and b are exact constants. (4)