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Popular >

integral of ((4x)/y)

Solution

\int (\frac{4 x}{y}) d x

Solution

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

Solution steps

\int \frac{4 x}{y} d x

Take the constant out:

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

= \frac{4}{y} \cdot \int x d x

Apply the Power Rule

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

= \frac{4}{y} \cdot \frac{x ^{2}}{2}

Simplify

\frac{4}{y} \cdot \frac{x ^{2}}{2} : \frac{2 x ^{2}}{y}

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

Add a constant to the solution

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

Popular Examples

\frac{d y}{d x} = x - y

area 16-x^2,x^2-2 area

16 - x^{2}, x^{2} - 2

integral of 4-4/(x^2)

\int 4 - \frac{4}{x ^{2}} d x

limit as x approaches 0 of (7sin(x))/x

x \to 0 lim (\frac{7 sin ( x )}{x})

derivative of (4x)/(3-tan(x))derivative of

\frac{4 x}{3 - tan ( x )}

Frequently Asked Questions (FAQ)

What is the integral of ((4x)/y) ?
The integral of ((4x)/y) is (2x^2)/y+C