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Popular Calculus >

integral of (x^2)^{-1}

Solution

\int (x^{2})^{- 1} d x

Solution

- \frac{1}{x} + C

Solution steps

\int (x^{2})^{- 1} d x

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \int \frac{1}{x ^{2}} d x

Apply the Power Rule

= - \frac{1}{x}

Add a constant to the solution

= - \frac{1}{x} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (x^2)^{-1} ?
The integral of (x^2)^{-1} is -1/x+C