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Diploma Engineering Mathematics

Published in: Mathematics
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    Hari B

    • Hyderabad
    • 10 Years of Experience
    • Qualification: M.Sc
    • Teaches: Statistics, Mathematics, Business Mathematics, Alg...
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This note contains Important Questions.

  • 1
    1 .Eva1uate f(x9 + 9x + 9x)dx. 2. Evaluate 3. Evaluate 4. Evaluate x dx ex + 2 COS X + ex + 2 Sin x -k sec x —ex + sin x x 7. 10. 11. 12. 13. 14. dx x(log dx 1 + COS X e +8sinx 1 X2 + 81 x x x x sin xcos x
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    16X2 - 9 log x tan X 17. Sln X tan X 19. 20. x + 81 21. 22. Sln 23. 1 - COS X 24. 1 - Slll X 8x -14 4X2 -14X + 5 ど S 1 ど 26. 2 れ Slll X 27. 28. 1 十 ズ tan ー ズ
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    ΥΡΥΤ ΧΡ SOOX T+Y lllS Χ) ξ+ΥΤ+ Υ SOOXL ll!S ΧΡΥ SOO 301 + ΟΥ Υ ΙΙΡΙ Y oas ΧΡΥ ΙΙΙς ΧΡΥΤ ll!SY ΥΙ(ΥΤ+ Y) ya (Y 301 + Ι) ΥΙ(Υ SOO + Υ ΙΙΙς) y a ΥΡ-Ε— X ΙΙΙ -τε ΈΙ
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    e 十 e sin 6xcos 2 · 8 · 9 · 11 · 14 · 15 · 17 · 19 · 20 · 21 · Slll x x XCOS XdX + 2x + 5 x + 1 + 2x 一 3 x + 1 ( 艹 4 Ⅹ 艹 7 ) x + 2x + 2 3x + 2x + 5 COS 13x X 一 5 5+4cosx 1 十 Sin X 十 COS X 5 + 4 sin x x + 2x + 3
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    22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. x sin 2xdx sin xcos xdx dx dx 4 + 5 cos x dx X2 + + 25 3x2 + 5x X dx 7 dx dx sin 13xsin 8xdx dx 3 cos x + 4 Sin x + 6 dx x tan xdx sec x dx (1 + tan x dx (2x — 1) dx X2 + 3x-1-2
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    37. Find the volume of the solid formed by revolving the area enclosed by the curve + Ca,cx Oy Oaboutx— axis. 38.Find the volume of sphere with radius 'r' using the method of integration. 1 dx. 39. (X 2 -k + 25) dx 40. ex (tan x + log sec x)dx. 41. 42. Jcos7x sin2x dx . 1 dx. 43. 44. . 45. (x sin 46. 1 dx. 1 dx. (3x 4x3 )dx. f (log x) 2 dx. 47. 48 f x 2 tan I dx. 49 f sin xdx. x4e-4Xdx. 51 x3e2Xdx. by making use of bernoulli's theorem .

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