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Evaluate the Integral integral of 1/x with respect to x

Problem

(∫_^)(1/x*d(x))

Solution

  1. Identify the standard integral form for the reciprocal function.

  2. Apply the rule for the integral of 1/x which states that the antiderivative is the natural logarithm of the absolute value of x

  3. Add the constant of integration C to represent the family of all possible antiderivatives.

Final Answer

(∫_^)(1/x*d(x))=ln(x)+C


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