# Evaluate integral of 1/(x^2)*cos(1/x) with respect to x

Let . Then , so . Rewrite using and .
Let . Find .
Differentiate .
Rewrite as .
Differentiate using the Power Rule which states that is where .
Rewrite the expression using the negative exponent rule .
Rewrite the problem using and .
Since is constant with respect to , move out of the integral.
The integral of with respect to is .
Simplify.
Replace all occurrences of with .
Evaluate integral of 1/(x^2)*cos(1/x) with respect to x