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Popular Calculus >

integral of (-x)/y

Solution

\int \frac{- x}{y} d x

Solution

- \frac{x ^{2}}{2 y} + C

Solution steps

\int \frac{- x}{y} d x

Take the constant out:

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

= \frac{- 1}{y} \cdot \int x d x

Simplify

= (- \frac{1}{y}) \cdot \int x d x

Apply the Power Rule

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

Simplify

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

= - \frac{x ^{2}}{2 y}

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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