Calculus Examples

$\frac{2}{3 \int u^{9} d u}$

Step 1

By the Power Rule, the integral of $u^{9}$ with respect to $u$ is $\frac{1}{10} u^{10}$ .

$\frac{2}{3 (\frac{1}{10} u^{10} + C)}$

Step 2

Simplify the answer.

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Step 2.1

Rewrite $\frac{2}{3 (\frac{1}{10} u^{10} + C)}$ as $\frac{2}{3 (\frac{1}{10}) u^{10}} + C$ .

$\frac{2}{3 (\frac{1}{10}) u^{10}} + C$

Step 2.2

Combine $3$ and $\frac{1}{10}$ .

$\frac{2}{\frac{3}{10} u^{10}} + C$