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Popular Calculus >

integral of-3x^{-2}

Solution

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

Solution

\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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-3x^{-2} ?
The integral of-3x^{-2} is 3/x+C