When do we need Numerical Methods for differentiation and integration?

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When do we need Numerical Methods for differentiation and integration?

If the function is known and simple, we can easily obtain its derivative (s) or can evaluate its definite integral However, if we do not know the function as such or the function is complicated and is given in a tabular form at a set of points x0,x1,…,xn, we use only numerical methods for differentiation or integration of the given function.
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