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Popular >

integral of u/9

Solution

\int \frac{u}{9} d u

Solution

\frac{u ^{2}}{18} + C

Solution steps

\int \frac{u}{9} d u

Take the constant out:

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

= \frac{1}{9} \cdot \int u d u

Apply the Power Rule

: \frac{u ^{2}}{2}

= \frac{1}{9} \cdot \frac{u ^{2}}{2}

Simplify

\frac{1}{9} \cdot \frac{u ^{2}}{2} : \frac{u ^{2}}{18}

= \frac{u ^{2}}{18}

Add a constant to the solution

= \frac{u ^{2}}{18} + C

Graph

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\int 5^{\frac{1}{2}} d x

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\int x (1 + x^{2}) arccot (x) d x

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\int tan^{2} (x) (tan^{2} (x) + 1) sec^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the integral of u/9 ?
The integral of u/9 is (u^2)/(18)+C