**??? - 2015 Q6**

6.

(i) Given that y > 0, find

(i) Given that y > 0, find

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(6)

(ii) (a) Use the substitution x = 4sin

^{2}θ to show thatwhere Ȝ is a constant to be determined. (5)

(b) Hence use integration to find

(b) Hence use integration to find

giving your answer in the form

*aπ*+*b*, where*a*and*b*are exact constants. (4)