Question Detail
Question
Evaluate ∫Cos(lnx)⁄x dx
Correct Answer
Option D is the correct answer.
Detailed Explanation
This integral can be solved using a simple substitution. Let u = ln x. Then, the differential du = (1/x) dx. Substituting these into the integral gives ∫ cos(u) du. The integral of cos(u) with respect to u is sin(u) + C. Substituting back u = ln x, we get sin(ln x) + C.
Hint
Consider using u-substitution. Let u = ln x.