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Definite integration, Business Mathematics & Statistics Video Lecture | Business Mathematics and Statistics - B Com
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FAQs on Definite integration, Business Mathematics & Statistics Video Lecture - Business Mathematics and Statistics - B Com
| 1. What is definite integration? |  |
Ans. Definite integration is a mathematical technique used to find the exact value of the area under a curve between two given points. It is a process of finding the definite integral of a function within a specific interval. The result of definite integration is a single numerical value.
| 2. How is definite integration used in business mathematics? | |
Ans. Definite integration is widely used in business mathematics for various applications. It helps in calculating the total profit or loss by integrating revenue and cost functions. It is used to find the average value of a function, which is crucial in analyzing market trends and forecasting. Definite integration is also used to calculate the accumulated depreciation of assets over time.
| 3. What is the difference between definite integration and indefinite integration? | |
Ans. The main difference between definite integration and indefinite integration lies in the output they provide. Definite integration gives a specific numerical value as the result, representing the area under the curve within a given interval. On the other hand, indefinite integration gives a general function as the result, representing an antiderivative of the original function.
| 4. Can definite integration be used to calculate probabilities in business statistics? | |
Ans. Yes, definite integration can be utilized to calculate probabilities in business statistics. In probability theory, the area under a probability density function (PDF) curve represents the probability of an event occurring within a certain range. By integrating the PDF function within a specific interval, one can determine the probability associated with that interval.
| 5. How can one evaluate definite integrals numerically? | |
Ans. Definite integrals can be evaluated numerically using various techniques. One common method is to approximate the integral using numerical integration methods, such as the trapezoidal rule or Simpson's rule. These methods divide the interval into smaller subintervals and approximate the area under the curve using the sum of areas of trapezoids or parabolic segments. Another approach is to use software or calculators that have built-in numerical integration functions to obtain the numerical value of the definite integral.
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