-why do we need to add one Constant term while entergrating a Function ?
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The constant of integration may seem to be unnecessary, as it is usually set to zero. This operator maps the function to zero, only in the case when that given function is constant. ... So, adding a constant is necessary while dealing with indefinite integrals.
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Because integrating a function f(x) (indefinite integral) means finding another function F(x) such that F'(x) = f(x). As constants disappear when you differentiate them, you can add any constant to F(x) and it will still satisfy the requirement that it becomes f(x when differentiated
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