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integral x/(x-1) .dx = x - ln(x-1) + c

where ln = natural logarithm

and c = constant of integration

alternatively if you meant: integral x/x - 1 .dx = c

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Q: What is the integral of x diveded by x minus one?
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What is x minus one?

The expression "x minus one" represents the result of subtracting one from the variable x. It can also be written as x - 1. This expression is a binomial, a mathematical expression with two terms, in this case, x and -1. The value of "x minus one" will depend on the specific value of x given in the context of the problem or equation.