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122test1

# 122test1 - 7 z z dz 4 25 \$" 8 e e dt t t 2 1" Hint...

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September 22, 2011 Math 122 - Test 1 Name__________________ Show work for full credit. Use substitution to find the integral. 1. 3 1 2 x x dx + ! " # Use integration by parts (or repeated integration by parts if needed) to find each integral. 2. xe dx x 2 ! " # 3. x x dx 3 ln ! " #

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September 22, 2011 Math 122 - Test 1 page 2 of 4 Use integration by parts (or repeated integration by parts if needed) to find each integral. 4. x e dx x 2 5 ! " # 5. 15 1 1 2 x x dx \$ ! " # Integrate using the table of integrals. You may need to use a substitution in some cases. 6. 1 49 2 x x dx + ! " #
September 22, 2011 Math 122 - Test 1 page 3 of 4 Integrate using the table of integrals. You may need to use a substitution in some cases.

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Unformatted text preview: 7. z z dz 4 25 \$ ! " # 8. e e dt t t 2 1 + ! " # [ Hint : Let x e t " .] 9. 2 1 1 2 x x dx + \$ ! " # [ Hint : Write as 2 1 1 1 2 2 x x dx x dx \$ + \$ ! " # ! " # . Use subsitution and integral tables, respectively, to evaluate each integral.] September 22, 2011 Math 122 - Test 1 page 4 of 4 Evaluate each improper integral or show that it is divergent. Use substitution where needed. 10. 1 4 1 x dx % ! " # 11. e dx x \$ % ! " # 2 12. 2 1 2 x x dx + ! " # %...
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122test1 - 7 z z dz 4 25 \$" 8 e e dt t t 2 1" Hint...

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