Question: 4) Let / = Jo (+rapidx. a) Using the substitution u = 1 + x2, show that (u - 1)2 1 = 273 du [4]

4) Let / = Jo (+rapidx. a) Using the substitution u = 1 + x2, show that (u - 1)2 1 = 273 du [4] b) Hence find the value of / correct to 3 significant figures. [5] 5) Calculate [xerox Express your answer as a single fraction in e. [5] 6) The diagram shows the curve y = x* Inx. Find the exact area of the shaded region bounded by the curve, the x-axis and the line x = 2. [5] O A

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