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Popular >

integral of x/y)

Solution

\int d (\frac{x}{y})

Solution

\frac{d}{y} \cdot \frac{x ^{2}}{2} + C

Solution steps

\int d \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} d \cdot \int x d x

Simplify

\frac{1}{y} d : \frac{d}{y}

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

Apply the Power Rule

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

= \frac{d}{y} \cdot \frac{x ^{2}}{2}

Add a constant to the solution

= \frac{d}{y} \cdot \frac{x ^{2}}{2} + C

Popular Examples

integral of (3ln(x)+3)/(2x^2)

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

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

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

integral of (x^2+5)/(x^3-8)

\int \frac{x ^{2} + 5}{x ^{3} - 8} d x

integral of e^{t+3}

\int e^{t + 3} d t

integral of sqrt(e^{-2x)}

\int e^{- 2 x} d x

Frequently Asked Questions (FAQ)

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