121616949-math.190 - 176 Chapter 8 Techniques of...

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176 Chapter 8 Techniques of Integration These problems require the techniques of this chapter, and are in no particular order. Some problems may be done in more than one way. Exercises 1. Z ( t + 4) 3 dt 2. Z t ( t 2 - 9) 3 / 2 dt 3. Z ( e t 2 + 16) te t 2 dt 4. Z sin t cos 2 t dt 5. Z tan t sec 2 t dt 6. Z 2 t + 1 t 2 + t + 3 dt 7. Z 1 t ( t 2 - 4) dt 8. Z 1 (25 - t 2 ) 3 / 2 dt 9. Z cos 3 t sin 3 t dt 10. Z t sec 2 t dt 11. Z e t e t + 1 dt 12. Z cos 4 t dt 13. Z 1 t 2 + 3 t dt 14. Z 1 t 2 1 + t 2 dt 15. Z sec 2 t (1 + tan t ) 3 dt 16. Z t 3 p t 2 + 1 dt 17. Z e t sin t dt
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Unformatted text preview: Z e t sin t dt ⇒ 18. Z ( t 3 / 2 + 47) 3 √ t dt ⇒ 19. Z t 3 (2-t 2 ) 5 / 2 dt ⇒ 20. Z 1 t (9 + 4 t 2 ) dt ⇒ 21. Z arctan 2 t 1 + 4 t 2 dt ⇒ 22. Z t t 2 + 2 t-3 dt ⇒ 23. Z sin 3 t cos 4 t dt ⇒ 24. Z 1 t 2-6 t + 9 dt ⇒ 25. Z 1 t (ln t ) 2 dt ⇒ 26. Z t (ln t ) 2 dt ⇒ 27. Z t 3 e t dt ⇒ 28. Z t + 1 t 2 + t-1 dt ⇒...
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