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Popular >

integral of (W/U)

Solution

\int (\frac{W}{U}) d W

Solution

\frac{W ^{2}}{2 U} + C

Solution steps

\int \frac{W}{U} d W

Take the constant out:

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

= \frac{1}{U} \cdot \int W d W

Apply the Power Rule

: \frac{W ^{2}}{2}

= \frac{1}{U} \cdot \frac{W ^{2}}{2}

Simplify

\frac{1}{U} \cdot \frac{W ^{2}}{2} : \frac{W ^{2}}{2 U}

= \frac{W ^{2}}{2 U}

Add a constant to the solution

= \frac{W ^{2}}{2 U} + C

Popular Examples

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\frac{d}{d x} (2 x - x^{3})

d/(d{x)}({x}^2+{y}^2+{z}^2+{x}{y})

\frac{d}{d x} (x^{2} + y^{2} + z^{2} + x y)

xy^2+3y^2-x^2y^'=0

x y^{2} + 3 y^{2} - x^{2} y^{^{'}} = 0

derivative of (3x-2/(2x-3))

\frac{d}{d x} (\frac{3 x - 2}{2 x - 3})

integral of 1/(t^{3/2)}

\int \frac{1}{t ^{\frac{3}{2}}} d t

Frequently Asked Questions (FAQ)

What is the integral of (W/U) ?
The integral of (W/U) is (W^2)/(2U)+C