Homework Help

What is the integral `int -sin(ln(x))/x dx`

user profile pic

lxsptter | Student, Undergraduate | (Level 2) Valedictorian

Posted August 18, 2012 at 5:48 PM via web

dislike 1 like

What is the integral `int -sin(ln(x))/x dx`

1 Answer | Add Yours

Top Answer

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted August 18, 2012 at 5:52 PM (Answer #1)

dislike 1 like

The integral `int -sin(ln(x))/x dx` has to be determined.

If `ln x = y` , `dy = dx/x`

`int -sin(ln(x))/x dx`

=> `int -sin y dy`

=> `cos y + C`

substituting `y = ln x`

=> `cos (ln (x)) + C`

The integral `int -sin(ln(x))/x dx = cos (ln (x)) + C`

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes