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n = -1
Every one know the basic and fundamental formula of integration n + 1 / n x | x dx = ------- + C ..... (i) / n + 1 But if n = -1 we not use the above formula. In such case we use.... / -1 / 1 | x dx = | --- dx = ln | x | + C ..... (ii) / / x
So when n = -1 we never use the formla (i). In such case we use the formula (ii).
In other words the integration of power rule is true for all n ≠ -1 or false for n = -1.
Always add the condition (n ≠ -1) in front of power rule integration formula.
n + 1 / n x | x dx = ------- + C (n ≠ -1) / n + 1