practice_final_corrected.pdf - Practice Final(21-122 section 2 Name Section May 7th 2019 Instructions Show your work Unjustified answers are incomplete

# practice_final_corrected.pdf - Practice Final(21-122...

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Practice Final (21-122 section 2) Name: Section: May 7th, 2019 Instructions: Show your work! Unjustified answers are incomplete and will receive partial or no credit. Some questions have multiple steps (even when they are not broken into explicit sub-questions). If you cannot complete the first step then you can jump ahead for partial credit. Section Score: Max: 1 30 2 30 3 30 4 60 Total 150 1
1 Integration techniques Question Score: Max: 1 10 2 10 3 10 Total 30 2
1.(10 points)What trigonometric substitution would you use to compute the integrals below?You donot need to compute the integrals!(a)Z9-x2x2dx.(b)Z1(x+ 1)2x2+ 2x+ 2dx 3
2. (10 points) Compute Z x + 1 x ( x - 1) 2 dx . 4
3.(10 points)Compute0sin2(x) cos4(x)dx.Hint:you may want to use one of the identities below. Z 2 π 5
2 Limits and improper integrals Question Score: Max: 1 10 2 10 3 10 Total 30 6