What is the integral of (-3x^{-2}) ?

The integral of (-3x^{-2}) is 3/x+C

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integral of (-3x^{-2})

\int (- 3 x^{- 2}) d x

\frac{3}{x} + C

Solution steps

\int - 3 x^{- 2} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 3 \cdot \int x^{- 2} d x

Apply the Power Rule

= - 3 (- \frac{1}{x})

Simplify

- 3 (- \frac{1}{x}) : \frac{3}{x}

= \frac{3}{x}

Add a constant to the solution

= \frac{3}{x} + C