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Integration of 2sinx?

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 2sinx.

Complete step-by-step answer:
Here, we have to integrate the function 2sinx. So,
2sinxdx
Extracting 2 from the integration as it is a constant. We get,
2sinxdx
We know that the integration of the sinx is cosx.
Therefore,
2sinxdx=2cosx+C
Where C is an integration constant.
Hence the integration of the function 2sinx is 2cosx+C.

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 F(x)dx=f(x)+C where the function F(x) is called anti=derivative or integral or primitive of the given function f(x) and C is known as the arbitrary constant or constant of integration.

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