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Popular >

integral of-x/(y^2)

Solution

\int - \frac{x}{y ^{2}} d y

Solution

\frac{x}{y} + C

Solution steps

\int - \frac{x}{y ^{2}} d y

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{y}

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

Simplify

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

= \frac{x}{y}

Add a constant to the solution

= \frac{x}{y} + C

Graph

Popular Examples

(dy)/(dx)+10(tan(10x))y=-cos(10x)

\frac{d y}{d x} + 10 (tan (10 x)) y = - cos (10 x)

integral of ((x^3))/(sqrt(x^2+100))

\int \frac{( x ^{3} )}{x ^{2} + 100} d x

derivative of e^{rx}derivative of

e^{r x}

derivative of-e^{-x}x^2+6e^{-x}x-6e^{-x}

\frac{d}{d x} (- e^{- x} x^{2} + 6 e^{- x} x - 6 e^{- x})

integral of cot^3(10x)

\int cot^{3} (10 x) d x

Frequently Asked Questions (FAQ)

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