Question Detail
Question
Integrate ∫(ln x)/x dx
Correct Answer
Option B is the correct answer.
Detailed Explanation
This integral is suitable for a u-substitution. Notice that the derivative of ln x is 1/x.Let u = ln x.Then, du = (1/x) dx.Substitute u and du into the integral:∫u du.Applying the power rule for integration, ∫u du = u²/2 + C.Substitute back u = ln x:(ln x)²/2 + C.Option B matches this result.
Hint
Consider letting u = ln x, as its derivative (1/x) is present in the integrand.