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For any non-zero real numbers a and b, without using differentiation, show that 1 ( + ) = 1 ln | + | + where

For any non-zero real numbers a and b, without using differentiation, show that

1 ( + ) = 1 ln | + | +

where x is a real variable, and C is an integration constant.

[Hint: Consider the method of Partial Fractions.]

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