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Popular >

integral of (2y)/x

Solution

integral

\frac{2 y}{x}

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: \frac{y ^{2}}{2}

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

Simplify

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

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

Add a constant to the solution

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

Graph

Popular Examples

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

e^{- 2} (x)^{2}

integral of (2x)/3 integral

\frac{2 x}{3}

integral of ((t+1))/t integral

\frac{( t + 1 )}{t}

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

(e^{- 2} x) sinh^{2} (x)

integral of x/((2x^2+1))integral

\frac{x}{( 2 x ^{2} + 1 )}

Frequently Asked Questions (FAQ)

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