Top 100 + integration questions, Basic to high level.

        Top 100 Numerical integration Practice questions.

1. Compute the definite integral ∫(2x + 3) dx from x = 0 to x = 5 using the midpoint rule with 4 subintervals.

2. Estimate the value of ∫(x^2 + 4x + 5) dx from x = 1 to x = 4 using the trapezoidal rule with 8 subintervals.

3. Use Simpson's rule with 6 subintervals to approximate ∫(3x^3 - 2x^2 + x) dx from x = 0 to x = 2.

4. Approximate the definite integral ∫(sin(x) + cos(x)) dx from x = 0 to x = π using the midpoint rule with 10 subintervals.

5. Estimate the value of ∫(e^x + x^2) dx from x = 0 to x = 2 using the trapezoidal rule with 12 subintervals.

6. Use Simpson's rule with 8 subintervals to approximate ∫(2x^3 - 4x^2 + 5x) dx from x = -1 to x = 1.

7. Compute the definite integral ∫(4 + 6x) dx from x = 1 to x = 5 using the midpoint rule with 5 subintervals.

8. Estimate the value of ∫(1/x) dx from x = 1 to x = 2 using the trapezoidal rule with 6 subintervals.

9. Use Simpson's rule with 10 subintervals to approximate ∫(3sin(x) + 2cos(x)) dx from x = 0 to x = π/2.

10. Approximate the definite integral ∫(2x^2 + 5x - 3) dx from x = 0 to x = 3 using the midpoint rule with 6 subintervals.

11. Estimate the value of ∫(e^x - x) dx from x = 1 to x = 3 using the trapezoidal rule with 10 subintervals.

12. Use Simpson's rule with 4 subintervals to approximate ∫(2x^3 - 4x^2 + 3x) dx from x = 1 to x = 2.

13. Compute the definite integral ∫(5 + 2x) dx from x = 2 to x = 6 using the midpoint rule with 8 subintervals.

14. Approximate the value of ∫(ln(x) + x^2) dx from x = 1 to x = 4 using the trapezoidal rule with 12 subintervals.

15. Use Simpson's rule with 6 subintervals to approximate ∫(4sin(x) - 3cos(x)) dx from x = 0 to x = π.

16. Estimate the value of ∫(3x^2 + 2x - 1) dx from x = 0 to x = 5 using the midpoint rule with 10 subintervals.

17. Compute the definite integral ∫(2 + 4x) dx from x = 1 to x = 4 using the trapezoidal rule with 5 subintervals.

18. Approximate the value of ∫(e^x + x^3) dx from x = 0 to x = 3 using Simpson's rule with 8 subintervals.

19. Use Simpson's rule with 12 subintervals to approximate ∫(3cos(x) +

4sin(x)) dx from x = 0 to x = π/4.

20. Estimate the value of ∫(4x^3 + 2x^2 - x) dx from x = 0 to x = 2 using the midpoint rule with 6 subintervals.

21. Compute the definite integral ∫(2x + 5) dx from x = 1 to x = 6 using the trapezoidal rule with 8 subintervals.

22. Approximate the value of ∫(ln(x) - x) dx from x = 1 to x = 5 using Simpson's rule with 4 subintervals.

23. Use Simpson's rule with 10 subintervals to approximate ∫(3x^2 - 4x + 2) dx from x = 0 to x = 3.

24. Estimate the value of ∫(sin(x) + cos(x)) dx from x = 0 to x = π/2 using the midpoint rule with 12 subintervals.

25. Compute the definite integral ∫(2 + 3x) dx from x = 2 to x = 5 using the trapezoidal rule with 6 subintervals.

26. Approximate the value of ∫(e^x + x^2) dx from x = 0 to x = 2 using Simpson's rule with 8 subintervals.

27. Use Simpson's rule with 6 subintervals to approximate ∫(4x^3 - 2x^2 + x) dx from x = -1 to x = 1.

28. Estimate the value of ∫(2x^3 - 5x^2 + 3x) dx from x = 0 to x = 4 using the midpoint rule with 10 subintervals.

29. Compute the definite integral ∫(5 + 4x) dx from x = 1 to x = 6 using the trapezoidal rule with 5 subintervals.

30. Approximate the value of ∫(ln(x) + x^2) dx from x = 1 to x = 4 using Simpson's rule with 12 subintervals.

31. Use Simpson's rule with 4 subintervals to approximate ∫(3x^3 - 4x^2 + 2x) dx from x = 1 to x = 2.

32. Estimate the value of ∫(e^x - x) dx from x = 1 to x = 3 using the midpoint rule with 10 subintervals.

33. Compute the definite integral ∫(4 + 5x) dx from x = 2 to x = 6 using the trapezoidal rule with 8 subintervals.

34. Approximate the value of ∫(ln(x) - x^2) dx from x = 1 to x = 5 using Simpson's rule with 4 subintervals.

35. Use Simpson's rule with 10 subintervals to approximate ∫(3x^2 - 4x + 2) dx from x = 0 to x = 3.

36. Estimate the value of ∫(sin(x) + cos(x)) dx from x = 0 to x = π/2 using the midpoint rule with 12 subintervals.

37. Compute the definite integral ∫(2 + 3x) dx from x = 2 to x = 5 using the trapezoidal rule with 6 subintervals.

38. Approximate the value of ∫(e^x + x^2) dx

from x = 0 to x = 2 using Simpson's rule with 8 subintervals.

39. Use Simpson's rule with 6 subintervals to approximate ∫(4x^3 - 2x^2 + x) dx from x = -1 to x = 1.

40. Estimate the value of ∫(2x^3 - 5x^2 + 3x) dx from x = 0 to x = 4 using the midpoint rule with 10 subintervals.

41. Compute the definite integral ∫(5 + 4x) dx from x = 1 to x = 6 using the trapezoidal rule with 5 subintervals.

42. Approximate the value of ∫(ln(x) + x^2) dx from x = 1 to x = 4 using Simpson's rule with 12 subintervals.

43. Use Simpson's rule with 4 subintervals to approximate ∫(3x^3 - 4x^2 + 2x) dx from x = 1 to x = 2.

44. Estimate the value of ∫(e^x - x) dx from x = 1 to x = 3 using the midpoint rule with 10 subintervals.

45. Compute the definite integral ∫(4 + 5x) dx from x = 2 to x = 6 using the trapezoidal rule with 8 subintervals.

46. Approximate the value of ∫(ln(x) - x^2) dx from x = 1 to x = 5 using Simpson's rule with 4 subintervals.

47. Use Simpson's rule with 10 subintervals to approximate ∫(3x^2 - 4x + 2) dx from x = 0 to x = 3.

48. Estimate the value of ∫(sin(x) + cos(x)) dx from x = 0 to x = π/2 using the midpoint rule with 12 subintervals.

49. Compute the definite integral ∫(2 + 3x) dx from x = 2 to x = 5 using the trapezoidal rule with 6 subintervals.

50. Approximate the value of ∫(e^x + x^2) dx from x = 0 to x = 2 using Simpson's rule with 8 subintervals.

51. Use Simpson's rule with 6 subintervals to approximate ∫(4x^3 - 2x^2 + x) dx from x = -1 to x = 1.

52. Estimate the value of ∫(2x^3 - 5x^2 + 3x) dx from x = 0 to x = 4 using the midpoint rule with 10 subintervals.

53. Compute the definite integral ∫(5 + 4x) dx from x = 1 to x = 6 using the trapezoidal rule with 5 subintervals.

54. Approximate the value of ∫(ln(x) + x^2) dx from x = 1 to x = 4 using Simpson's rule with 12 subintervals.

55. Use Simpson's rule with 4 subintervals to approximate ∫(3x^3 - 4x^2 + 2x) dx from x = 1 to x = 2.

56. Estimate the value of ∫(e^x - x) dx from x = 1 to x = 3 using the midpoint rule with 10 subintervals.

57. Compute the definite integral ∫(

4 + 5x) dx from x = 2 to x = 6 using the trapezoidal rule with 8 subintervals.

58. Approximate the value of ∫(ln(x) - x^2) dx from x = 1 to x = 5 using Simpson's rule with 4 subintervals.

59. Use Simpson's rule with 10 subintervals to approximate ∫(3x^2 - 4x + 2) dx from x = 0 to x = 3.

60. Estimate the value of ∫(sin(x) + cos(x)) dx from x = 0 to x = π/2 using the midpoint rule with 12 subintervals.

61. Compute the definite integral ∫(2 + 3x) dx from x = 2 to x = 5 using the trapezoidal rule with 6 subintervals.

62. Approximate the value of ∫(e^x + x^2) dx from x = 0 to x = 2 using Simpson's rule with 8 subintervals.

63. Use Simpson's rule with 6 subintervals to approximate ∫(4x^3 - 2x^2 + x) dx from x = -1 to x = 1.

64. Estimate the value of ∫(2x^3 - 5x^2 + 3x) dx from x = 0 to x = 4 using the midpoint rule with 10 subintervals.

65. Compute the definite integral ∫(5 + 4x) dx from x = 1 to x = 6 using the trapezoidal rule with 5 subintervals.

66. Approximate the value of ∫(ln(x) + x^2) dx from x = 1 to x = 4 using Simpson's rule with 12 subintervals.

67. Use Simpson's rule with 4 subintervals to approximate ∫(3x^3 - 4x^2 + 2x) dx from x = 1 to x = 2.

68. Estimate the value of ∫(e^x - x) dx from x = 1 to x = 3 using the midpoint rule with 10 subintervals.

69. Compute the definite integral ∫(4 + 5x) dx from x = 2 to x = 6 using the trapezoidal rule with 8 subintervals.

70. Approximate the value of ∫(ln(x) - x^2) dx from x = 1 to x = 5 using Simpson's rule with 4 subintervals.

71. Use Simpson's rule with 10 subintervals to approximate ∫(3x^2 - 4x + 2) dx from x = 0 to x = 3.

72. Estimate the value of ∫(sin(x) + cos(x)) dx from x = 0 to x = π/2 using the midpoint rule with 12 subintervals.

73. Compute the definite integral ∫(2 + 3x) dx from x = 2 to x = 5 using the trapezoidal rule with 6 subintervals.

74. Approximate the value of ∫(e^x + x^2) dx from x = 0 to x = 2 using Simpson's rule with 8 subintervals.

75. Use Simpson's rule with 6 subintervals to approximate ∫(4x^3 - 2x^2 + x) dx from x = -1 to x = 1.

76. Estimate the value of

 ∫(2x^3 - 5x^2 + 3x) dx from x = 0 to x = 4 using the midpoint rule with 10 subintervals.

77. Compute the definite integral ∫(5 + 4x) dx from x = 1 to x = 6 using the trapezoidal rule with 5 subintervals.

78. Approximate the value of ∫(ln(x) + x^2) dx from x = 1 to x = 4 using Simpson's rule with 12 subintervals.

79. Use Simpson's rule with 4 subintervals to approximate ∫(3x^3 - 4x^2 + 2x) dx from x = 1 to x = 2.

80. Estimate the value of ∫(e^x - x) dx from x = 1 to x = 3 using the midpoint rule with 10 subintervals.

81. Compute the definite integral ∫(4 + 5x) dx from x = 2 to x = 6 using the trapezoidal rule with 8 subintervals.

82. Approximate the value of ∫(ln(x) - x^2) dx from x = 1 to x = 5 using Simpson's rule with 4 subintervals.

83. Use Simpson's rule with 10 subintervals to approximate ∫(3x^2 - 4x + 2) dx from x = 0 to x = 3.

84. Estimate the value of ∫(sin(x) + cos(x)) dx from x = 0 to x = π/2 using the midpoint rule with 12 subintervals.

85. Compute the definite integral ∫(2 + 3x) dx from x = 2 to x = 5 using the trapezoidal rule with 6 subintervals.

86. Approximate the value of ∫(e^x + x^2) dx from x = 0 to x = 2 using Simpson's rule with 8 subintervals.

87. Use Simpson's rule with 6 subintervals to approximate ∫(4x^3 - 2x^2 + x) dx from x = -1 to x = 1.

88. Estimate the value of ∫(2x^3 - 5x^2 + 3x) dx from x = 0 to x = 4 using the midpoint rule with 10 subintervals.

89. Compute the definite integral ∫(5 + 4x) dx from x = 1 to x = 6 using the trapezoidal rule with 5 subintervals.

90. Approximate the value of ∫(ln(x) + x^2) dx from x = 1 to x = 4 using Simpson's rule with 12 subintervals.

91. Use Simpson's rule with 4 subintervals to approximate ∫(3x^3 - 4x^2 + 2x) dx from x = 1 to x = 2.

92. Estimate the value of ∫(e^x - x) dx from x = 1 to x = 3 using the midpoint rule with 10 subintervals.

93. Compute the definite integral ∫(4 + 5x) dx from x = 2 to x = 6 using the trapezoidal rule with 8 subintervals.

94. Approximate the value of ∫(ln(x) - x^2) dx from x = 1 to x = 5 using Simpson's rule with 4 subint

ervals.

95. Use Simpson's rule with 10 subintervals to approximate ∫(3x^2 - 4x + 2) dx from x = 0 to x = 3.

96. Estimate the value of ∫(sin(x) + cos(x)) dx from x = 0 to x = π/2 using the midpoint rule with 12 subintervals.

97. Compute the definite integral ∫(2 + 3x) dx from x = 2 to x = 5 using the trapezoidal rule with 6 subintervals.

98. Approximate the value of ∫(e^x + x^2) dx from x = 0 to x = 2 using Simpson's rule with 8 subintervals.

99. Use Simpson's rule with 6 subintervals to approximate ∫(4x^3 - 2x^2 + x) dx from x = -1 to x = 1.

100. Estimate the value of ∫(2x^3 - 5x^2 + 3x) dx from x = 0 to x = 4 using the midpoint rule with 10 subintervals.

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