Calculus Examples

${(3 \sqrt{3})}^{- \frac{1}{3}}$

Step 1

Simplify.

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Step 1.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\int \frac{1}{{(3 \sqrt{3})}^{\frac{1}{3}}} d x$

Step 1.2

Factor $3$ out of $3 \sqrt{3}$ .

$\int \frac{1}{{(3 (\sqrt{3}))}^{\frac{1}{3}}} d x$

Step 1.3

Apply the product rule to $3 (\sqrt{3})$ .

$\int \frac{1}{3^{\frac{1}{3}} {\sqrt{3}}^{\frac{1}{3}}} d x$

Step 2

Apply the constant rule.

$\frac{1}{3^{\frac{1}{3}} {\sqrt{3}}^{\frac{1}{3}}} x + C$