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When solving integrals in calculus, how do you know when you have completed the integral? Regarding derivatives, we can use l'hospitals rules to get a

When solving integrals in calculus, how do you know when you have completed the integral? Regarding derivatives, we can use l'hospitals rules to get a solution that is not in intermediate form. But, for integrals, what is the general goal(s)? What are we trying to find a solution to, and what is the importance?

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