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Popular Calculus >

integral of 2y^{-2}

Solution

\int 2 y^{- 2} d y

Solution

- \frac{2}{y} + C

Solution steps

\int 2 y^{- 2} d y

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

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

= - \frac{2}{y}

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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