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

Problem

(∫_^)(1/x*d(x))

Solution

1. Identify the integrand as the reciprocal function 1/x

2. Apply the power rule exception for integration, which states that the integral of x(−1) 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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