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Find all the antiderivatives for the following function. Check your work by taking the derivative. f(r).

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Final answer:

To find all the antiderivatives for a given function, you need to perform integration. First, find the antiderivative of each term separately, and then add them together to obtain the general solution. Check your work by taking the derivative.

Step-by-step explanation:

To find all the antiderivatives for a given function, you need to perform integration. In this case, the function is f(r) and the integral is taken with respect to r.

First, you need to find the antiderivative of each term separately. Then, you can add them together to obtain the general solution. Repeat this process for each term in the function.

Finally, you can check your work by taking the derivative of the obtained antiderivative. If the derivative matches the original function, then the antiderivative is correct.

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