Question: Name: ID: MATH2B Date: November 3rd, 2022 Quiz 4 Instructions: The following quiz is for twenty minutes. Please complete the following two prob- lems, and

Name: ID: MATH2B Date: November 3rd, 2022 Quiz 4 Instructions: The following quiz is for twenty minutes. Please complete the following two prob-

lems, and box your final answers. Problem 1 Consider the following integral

dx x2 V x2 + 16 2 pts. Express this integral in

Name: ID: MATH2B Date: November 3rd, 2022 Quiz 4 Instructions: The following quiz is for twenty minutes. Please complete the following two prob- lems, and box your final answers. Problem 1 Consider the following integral dx x2 V x2 + 16 2 pts. Express this integral in terms of trigonometric functions. 3 pts. Integrate the expression from part (a), and express your final answer in terms of x.Problem 2 Consider the following rational function: 24 p(a) = 202 - 4 3 pts. Compute the partial fraction decomposition of p(x) 2 pts. Using your answer from part (a) above, explain why the following integral is improper: In your answer, write a (limit of) an integral to compute this, but do not compute

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