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