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Popular Calculus >

integral of x/u

Solution

\int \frac{x}{u}

Solution

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

Solution steps

\int \frac{x}{u} d x

Take the constant out:

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

= \frac{1}{u} \cdot \int x d x

Apply the Power Rule

= \frac{1}{u} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{u} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{2 u}

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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