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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

Popular Examples

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\frac{s}{( s + 3 ) ^{2}}

x(dy)/(dx)+y=y^2ln(x)

x \frac{d y}{d x} + y = y^{2} ln (x)

derivative of (87x^3)/(25)derivative of

\frac{87 x ^{3}}{25}

tangent of y=(x^3-25x)^{14},(5,0)tangent of

y = (x^{3} - 25 x)^{14}, (5, 0)

integral of θarcsec(4θ)

\int θ arcsec (4 θ) d θ

Frequently Asked Questions (FAQ)

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