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Popular Calculus >

integral of 5x^{-2}

Solution

\int 5 x^{- 2} d x

Solution

- \frac{5}{x} + C

Solution steps

\int 5 x^{- 2} d x

Take the constant out:

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

= 5 \cdot \int x^{- 2} d x

Apply the Power Rule

= 5 (- \frac{1}{x})

Simplify

5 (- \frac{1}{x}) : - \frac{5}{x}

= - \frac{5}{x}

Add a constant to the solution

= - \frac{5}{x} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 5x^{-2} ?
The integral of 5x^{-2} is -5/x+C