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Please answer the questions in order and write each problem's solution clearly on a separate page. 1. (8.} Express the limit as a denite integral can the given interval. 7 'I 1 j I j 1130; a (1+ \")8111 (1 + n)' [0,1]. 2. Let [(w) = 111(1 + $2) and assume that 1 f mm = 2+12T-+111(2}, a You do NOT need to show any calculations for this result, you meg,r sinlpl},r use it as stated. 1 Assuming the above result, calculate j mlnfl +3\") den :1 3- Sketch the region enclosed by the given curves. Decide whether to integrate with respect to 1' or y. Draw a typical approximating rectangle and label its height and width. Then calculate the exact area of the region. {a} y=silltw).y=e.x=g.x=s (b) y=x24x.y=2x (c) 43+y2=12,.ry= 4- Bonus Question [2 points (bonus)) Which of the [showing two integrals is larger? Prove your answer. f\" cus() es, lm was?) it