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Nov 11th, 2019
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  1. {
  2. "classes": [
  3. {
  4. "calculus": [
  5. {
  6. "question": "\\frac{d}{dx} e^x",
  7. "options": [
  8. "e^x",
  9. "e^{2x}",
  10. "e^{-x}",
  11. "x"
  12. ],
  13. "answer": "A"
  14. },
  15. {
  16. "question": "\\frac{d}{dx} sin(x)",
  17. "options": [
  18. "cos(x)",
  19. "tan(x)",
  20. "sin(x)",
  21. "-cos(x)"
  22. ],
  23. "answer": "A"
  24. },
  25. {
  26. "question": "\\int_{-3}^{2} x^2 dx",
  27. "options": [
  28. "11.667",
  29. "5.873",
  30. "16.250",
  31. "14.382"
  32. ],
  33. "answer": "A"
  34. },
  35. {
  36. "question": "\\int_{0}^{\\infty} tan(x) dx",
  37. "options": [
  38. "The integral diverges and is \\infty",
  39. "0",
  40. "\\ln(sec(x))",
  41. "\\-ln(cos(x))"
  42. ],
  43. "answer": "A"
  44. },
  45. {
  46. "question": "\\int_{0}^{1} \\frac{1}{x} dx",
  47. "options": [
  48. "Integral diverges",
  49. "0",
  50. "1",
  51. "-1"
  52. ],
  53. "answer": "A"
  54. },
  55. {
  56. "question": "\\int e^x dx",
  57. "options": [
  58. "e^x",
  59. "-e^x",
  60. "e^{-x}",
  61. "\\frac{1}{x}"
  62. ],
  63. "answer": "A"
  64. },
  65. {
  66. "question": "\\int_1^4 x^3 dx",
  67. "options": [
  68. "63.750",
  69. "-63.750",
  70. "0",
  71. "57.325"
  72. ],
  73. "answer": "A"
  74. },
  75. {
  76. "question": "\\int_{-3}^{2} x dx",
  77. "options": [
  78. "-2.500",
  79. "2.500",
  80. "2.250",
  81. "3.500"
  82. ],
  83. "answer": "A"
  84. },
  85. {
  86. "question": "\\int_{0}^{\\infty} sec(x) dx",
  87. "options": [
  88. "Integral diverges",
  89. "0",
  90. "\\ln{\\abs{sec(x)+tan(x)}}",
  91. "6.750"
  92. ],
  93. "answer": "A"
  94. },
  95. {
  96. "question": "\\int_{-1}^{1} \\frac{3x}{x} dx",
  97. "options": [
  98. "6",
  99. "0",
  100. "3x",
  101. "-3x"
  102. ],
  103. "answer": "A"
  104. }
  105. ]
  106. }
  107. ]
  108. }
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