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SalasSV_08_01_ex - 8.1 INTEGRAL TABLES AND REVIEW 449...

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8.1 INTEGRAL TABLES AND REVIEW 449 EXERCISES 8.1 Calculate the integral. 1. e 2 x dx . 2. cos 2 3 x dx . 3. 1 0 sin π x dx . 4. 1 0 sec π x tan π x dx . 5. sec 2 (1 x ) dx . 6. dx 5 x . 7. π/ 3 π/ 6 cot x dx . 8. 1 0 x 3 1 + x 4 dx . 9. x 1 x 2 dx . 10. π/ 4 π/ 4 dx cos 2 x . 11. π/ 4 π/ 4 sin x cos 2 x dx . 12. e x x dx . 13. 2 1 e 1 / x x 2 dx . 14. x 3 1 x 4 dx . 15. c 0 dx x 2 + c 2 . 16. a x e x dx . 17. sec 2 θ 3 tan θ + 1 d θ . 18. sin φ 3 2 cos φ d φ . 19. e x a e x b dx . 20. dx x 2 4 x + 13 . 21. x ( x + 1) 2 + 4 dx . 22. ln x x dx . 23. x 1 x 4 dx . 24. e x 1 + e 2 x dx . 25. dx x 2 + 6 x + 10 . 26. e x tan e x dx . 27. x sin x 2 dx . 28. x 9 + x 4 dx . 29. tan 2 x dx . 30. cosh 2 x sinh 3 2 x dx . 31. e 1 ln x 3 x dx . 32. π/ 4 0 tan 1 x 1 + x 2 dx . 33. sin 1 x 1 x 2 dx . 34. e x cosh (2 e x ) dx . 35. 1 x ln x dx . 36. 1 1 x 2 x 2 + 1 dx . 37. π/ 4 0 1 + sin x cos 2 x dx . 38. 1 / 2 0 1 + x 1 x 2 dx . Calculate using an integral table. 39. x 2 4 dx . 40. 4 x 2 dx . 41. cos 3 2 t dt . 42. sec 4 t dt .
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