Calculus Examples

$\int \sqrt[4]{x} d x$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[4]{x}$ as $x^{\frac{1}{4}}$ .

$\int x^{\frac{1}{4}} d x$

Step 2

By the Power Rule, the integral of $x^{\frac{1}{4}}$ with respect to $x$ is $\frac{4}{5} x^{\frac{5}{4}}$ .

$\frac{4}{5} x^{\frac{5}{4}} + C$