18, Zone-II, M.P. Nagar, Bhopal : 0755-2768319 Class-Sheet |1 Evaluate the following integrals: 1. 9 4 dx x 2. 1 0 10 dx x 3. 1 1 3 dx x 4. 3 1 4 dx x 5. 2 1 5 dx x 6. 16 0 4 / 3 dx x 7. 1 4 x dx 8. 8 1 3 / 2 x dx 9. 1 0 3 x dx 10. 4 1 2 / 7 dx x 11. 2 / 0 2 cos dx x 12. 2 / 0 2 tan dx x 13. 2 / 0 tan dx x 14. 2 / 0 2 sin dx x 15. 2 / 4 / 2 cosec dx x 16. 4 / 6 / cosec dx x 17. 3 / 0 3 cos dx x 18. (i) 2 / 0 3 cos dx x (ii) 2 / 0 3 sin dx x 19. 2 / 0 4 sin dx x 20. 2 / 0 2 sin sin dx x x 21. 0 3 cos 2 sin dx x x 22. 2 / 1 0 1 x dx 23. 1 0 2 1 x dx 24. (i) 0 2 1 x dx (ii) ) 9 ( 2 x dx 25. 1 0 1 1 dx x x 26. 2 0 2 1 x x dx 27. a x ax dx 0 2 28. 4 3 2 4 x dx ZERO LEVEL Definite Integrals-I 29. 2 0 2 4 x x dx 30. a x ax a dx 0 2 2 31. 4 0 2 3 2x x dx 32. 2 0 2 3 4x x dx 33. 2 1 ) 2 )( 1 ( x x dx 34. 1 0 ) 1 ( dx x x 35. (i) 4 / 0 2 sin 1 dx x (ii) 2 / 0 2 cos 1 dx x 36. (i) 2 / 0 2 2 ) tan cos ( dx x b x a (ii) 4 / 3 / 2 ) cot (tan dx x x 37. (i) 2 / 0 cos 1 dx x (ii) 2 / 0 sin 1 dx x 38. (i) 4 / 0 ) 2 cos 1 ( x dx (ii) 2 / 4 / ) 2 cos 1 ( x dx (iii) 4 / 4 / ) sin 1 ( x dx 39. 0 sin log 2 cos dx x x 40. 2 / 0 2 cos dx x x 41. (i) 4 / 0 2 sin dx x x (ii) 2 / 0 2 2 cos dx x x 42. 2 / 0 2 2 cos dx x x 43. 2 / 0 3 3 sin dx x x 44. 2 / 0 2 sin sin dx x x x 45. 3 1 2 ) 1 ( log dx x x 46. 2 1 ) 1 ( x x dx 47. 2 1 ) 2 ( ) 3 ( dx x x x 48. 2 1 ) 2 ( ) 3 ( dx x x x 49. 3 1 2 ) 1 ( x x dx 50. 1 0 dx xe x 51. 1 0 2 ) 1 ( dx x xe x 52. 2 0 2 ) (log 1 log 1 e dx x x 53. 2 1 2 2 ) 3 4 ( 5 dx x x x 54. 1 0 2 4 2 ) 3 ( dx x x x 55. /2 0 3 tan 2 dx x 07/IX/27/ZLCS-01/A/Ex18.1
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ZERO LEVEL Definite Integrals-I - IMPETUS EDUCATIONimpetuseducation.com/zero_level/Definite Integrals -1,2.pdf · 3 x2 4 dx ZERO LEVEL Definite Integrals-I 29. ... x sinx sin2x dx
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