How do you integrate the function 1/x^2 dx?

To integrate the function 1/x², we can follow these steps:

1. Rewrite the integrand in a more convenient form. We can express 1/x² as x^-2.

2. Now, we set up the integral:

   ∫ x^-2 dx

3. We can apply the power rule of integration, which states:

   ∫ xⁿ dx = &frac{xⁿ⁺¹}{n+1} + C, for n ≠ -1

4. In our case, n = -2

   So, we have: &frac{x^-1}{-1} + C = -x^-1 + C

5. Finally, rewriting the expression in terms of the original variables gives us:

   -&frac{1}{x} + C