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9 5 Let 1 = (3+12) 2 de. (i) Using the substitution x = (V3) tan 0, show that I = V3 cos2 0 de.
9 5 Let 1 = (3+12) 2 de. (i) Using the substitution x = (V3) tan 0, show that I = V3 cos2 0 de. [3] (ii) Hence find the exact value of 1. [4] 6 A curve has equation sin y In x = x - 2 sin y, for - SayS ST. (i) Find dx in terms of x and y. [5] (ii) Hence find the exact x-coordinate of the point on the curve at which the tangent is parallel to the x-axis. [3] UCLES 2016 9709/32/F/M/16
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