Evaluate the Integral integral of 4/x with respect to x

Problem

(∫_^)(4/x*d(x))

Solution

1. Identify the constant in the integrand and move it outside the integral.

(∫_^)(4/x*d(x))=4*(∫_^)(1/x*d(x))

2. Apply the rule for the integral of the reciprocal function, which states that (∫_^)(1/x*d(x))=ln(x)+C

4*(∫_^)(1/x*d(x))=4*ln(x)+C

Final Answer

(∫_^)(4/x*d(x))=4*ln(x)+C

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