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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

derivative of sqrt(x)*e^{-x}

\frac{d}{d x} (x \cdot e^{- x})

(dy)/(dx)=9xe^y,y(0)=0

\frac{d y}{d x} = 9 x e^{y}, y (0) = 0

tangent of f(x)=2x^2-1,\at x=-1 tangent of

f (x) = 2 x^{2} - 1, at x = - 1

(dy)/(dx)=x^2y-y+x^2-1

\frac{d y}{d x} = x^{2} y - y + x^{2} - 1

integral of 3x^4

\int 3 x^{4} d x

Frequently Asked Questions (FAQ)

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