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(a) (3 Marks) Find all values of a E R such that the improper integral 0 3: sin2 3: md5'3 1 e (b) (3 Marks)

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(a) (3 Marks) Find all values of a E R such that the improper integral 0 3:\" sin2 3: md5'3 1 e (b) (3 Marks) Find all values of a. E R such that the improper integral 1 a, - 2 :12 5111 33 d:r 0 6"\" (c) (4 Marks) Find all values of a E R such that the improper integral 0 3:\" sin2 3: d:r 0 9\": converges. Show your work. converges. Show your work. converges. Show your work

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