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Popular Calculus >

integral of-y^{-2}

Solution

\int - y^{- 2} d y

Solution

\frac{1}{y} + C

Solution steps

\int - y^{- 2} d y

Take the constant out:

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

= - \int y^{- 2} d y

Apply the Power Rule

= - (- \frac{1}{y})

Simplify

= \frac{1}{y}

Add a constant to the solution

= \frac{1}{y} + C

Graph

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Frequently Asked Questions (FAQ)

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