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

Problem

(∫_^)(1/u*d(u))

Solution

1. Identify the standard integration rule for the reciprocal function.

2. Apply the formula for the integral of 1/u which results in the natural logarithm of the absolute value of the variable.

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

Final Answer

(∫_^)(1/u*d(u))=ln(u)+C

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