Question - Indefinite Integration of a Negative Power Function

The general formula for finding the indefinite integral of a power function \(\int x^n dx\) is \(\frac{x^{n+1}}{n+1} + C\), provided \(n \neq -1\).

Here, \(n = -2\). Applying the formula, we get:

\(\int x^{-2} dx = \frac{x^{-2+1}}{-2+1} + C\)

\(\int x^{-2} dx = \frac{x^{-1}}{-1} + C\)

\(\int x^{-2} dx = -x^{-1} + C\)

\(\int x^{-2} dx = -\frac{1}{x} + C\)