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Popular >

integral of 2x^{-2}

Solution

integral

2 x^{- 2}

Solution

- \frac{2}{x} + C

Solution steps

\int 2 x^{- 2} d x

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{x}

= 2 (- \frac{1}{x})

Simplify

2 (- \frac{1}{x}) : - \frac{2}{x}

= - \frac{2}{x}

Add a constant to the solution

= - \frac{2}{x} + C

Graph

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Frequently Asked Questions (FAQ)

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