Calculus Examples

$9 \int x^{- \frac{1}{2}} d x$

Step 1

By the Power Rule, the integral of $x^{- \frac{1}{2}}$ with respect to $x$ is $2 x^{\frac{1}{2}}$ .

$9 (2 x^{\frac{1}{2}} + C)$

Step 2

Simplify the answer.

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Step 2.1

Rewrite $9 (2 x^{\frac{1}{2}} + C)$ as $9 \cdot 2 x^{\frac{1}{2}} + C$ .

$9 \cdot 2 x^{\frac{1}{2}} + C$

Step 2.2

Multiply $9$ by $2$ .

$18 x^{\frac{1}{2}} + C$