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Popular >

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

Apply the Power Rule

: \frac{x ^{2}}{2}

= - \frac{1}{y} \cdot \frac{x ^{2}}{2}

Simplify

- \frac{1}{y} \cdot \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

Popular Examples

y^'ln(y)+x^2y=0

y^{^{'}} ln (y) + x^{2} y = 0

area x=y,x=y^2 area

x = y, x = y^{2}

integral of (19-19x)/(1-sqrt(x))

\int \frac{19 - 19 x}{1 - x} d x

integral of 3/(x^2sqrt(x^2+16))

\int \frac{3}{x ^{2} x ^{2} + 16} d x

sum from n=1 to infinity of 1/(n+1000)

n = 1 \sum \infty \frac{1}{n + 1000}

Frequently Asked Questions (FAQ)

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