Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > Integration of function is same as the ______...
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Integration of function is same as the ___________
- a)Joining many small entities to create a large entity
- b)Indefinitely small difference of a function
- c)Multiplication of two function with very small change in value
- d)Point where function neither have maximum value nor minimum value
Correct answer is option 'A'. Can you explain this answer?
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Integration of function is same as the ___________a)Joining many small...
Integration of function is same as the Joining many small entities to create a large entity.
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Integration of function is same as the ___________a)Joining many small...
Explanation:
Integration of a function is the process of finding the antiderivative of the function. This is similar to joining many small entities to create a large entity. Let's break down this analogy further:
Joining many small entities:
- When we integrate a function, we are essentially summing up infinitely many small increments of the function over a given interval.
- This process involves breaking down the function into smaller parts and adding them up to get the overall result.
Creating a large entity:
- The result of integration is a new function that represents the accumulated effect of the original function over the specified interval.
- Just like combining many small pieces together creates a larger entity, integrating a function results in a new function that describes the overall behavior of the original function.
Therefore, the analogy of integration being similar to joining many small entities to create a large entity helps to visualize the process of integration as a way of summing up infinitesimally small increments of a function to determine the total effect over a given interval.
Integration of a function is the process of finding the antiderivative of the function. This is similar to joining many small entities to create a large entity. Let's break down this analogy further:
Joining many small entities:
- When we integrate a function, we are essentially summing up infinitely many small increments of the function over a given interval.
- This process involves breaking down the function into smaller parts and adding them up to get the overall result.
Creating a large entity:
- The result of integration is a new function that represents the accumulated effect of the original function over the specified interval.
- Just like combining many small pieces together creates a larger entity, integrating a function results in a new function that describes the overall behavior of the original function.
Therefore, the analogy of integration being similar to joining many small entities to create a large entity helps to visualize the process of integration as a way of summing up infinitesimally small increments of a function to determine the total effect over a given interval.
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Integration of function is same as the ___________a)Joining many small entities to create a large entityb)Indefinitely small difference of a functionc)Multiplication of two function with very small change in valued)Point where function neither have maximum value nor minimum valueCorrect answer is option 'A'. Can you explain this answer?
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