| 21. | This part of the theorem has key practical applications because it markedly simplifies the computation of definite integrals.
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| 22. | Definite integrals that describe circumference, area, or volume of shapes generated by circles typically have values that involve.
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| 23. | I think I know how this should be true when this is a definite integral over a bounded set.
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| 24. | In physics-related problems, Monte Carlo methods are useful for simulating systems with many definite integrals with complicated boundary conditions.
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| 25. | However, the values of the definite integrals of some of these functions over some common intervals can be calculated.
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| 26. | Nevertheless, your comment above suggests that this may be an artifact of the online definite integral solver I used.
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| 27. | But what about the boundaries of the integral, since a definite integral equals the average integrand times the boundary difference:
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| 28. | It can variously be expressed in the form of a definite integral, a trigonometric series, and various other special functions.
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| 29. | While it's true that kurtosis can't be less than-3, " mathematically " a definite integral can have any value it wants.
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| 30. | The technical definition of the definite integral involves the limit of a sum of areas of rectangles, called a Riemann sum.
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