
Integration of ?
Answer
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Hint: Integration is a method of adding or summing up the parts to find the whole. It is a reverse process of differentiation, where we reduce the functions in smaller parts. Differentiation is the process of finding the derivative and integration is the process of finding the antiderivative of a function. So, these processes are inverse of each other. Here, we have to find the integration of the function .
Complete step-by-step answer:
Here, we have to integrate the function . So,
Extracting from the integration as it is a constant. We get,
We know that the integration of the is .
Therefore,
Where is an integration constant.
Hence the integration of the function is .
Note: The integration is the process of finding the antiderivative of a function. It is a similar way to add the slices to make it whole. The integration is the inverse process of differentiation. Integration is also called the anti-differentiation. The integration is used to find the volume, area and the central values of many things. Integration can be defined as where the function is called anti=derivative or integral or primitive of the given function and is known as the arbitrary constant or constant of integration.
Complete step-by-step answer:
Here, we have to integrate the function
Extracting
We know that the integration of the
Therefore,
Where
Hence the integration of the function
Note: The integration is the process of finding the antiderivative of a function. It is a similar way to add the slices to make it whole. The integration is the inverse process of differentiation. Integration is also called the anti-differentiation. The integration is used to find the volume, area and the central values of many things. Integration can be defined as
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