Evaluate integral of cos( natural log of x) with respect to x

Math
Let . Then , so . Rewrite using and .
Reorder and .
Integrate by parts using the formula , where and .
Since is constant with respect to , move out of the integral.
Simplify the expression.
Tap for more steps…
Multiply by .
Multiply by .
Reorder and .
Integrate by parts using the formula , where and .
Solving for , we find that = .
Replace all occurrences of with .
Simplify the answer.
Tap for more steps…
Exponentiation and log are inverse functions.
Exponentiation and log are inverse functions.
Evaluate integral of cos( natural log of x) with respect to x

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top