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Popular Calculus >

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{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

Graph

Popular Examples

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

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

derivative of 1-tan(x)

laplacetransform f(t)=te^{4t}

Frequently Asked Questions (FAQ)

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