Calculus Examples

$\int {(n x)}^{\frac{1 - n}{n}} d x$

Step 1

$\int {(n x)}^{\frac{1 - n}{n}} d x$ is an antiderivative of ${(n x)}^{\frac{1 - n}{n}}$ , so by definition $\frac{d}{d x} [\int {(n x)}^{\frac{1 - n}{n}} d x]$ is ${(n x)}^{\frac{1 - n}{n}}$ .

${(n x)}^{\frac{1 - n}{n}}$

Step 2

Apply the product rule to $n x$ .

$n^{\frac{1 - n}{n}} x^{\frac{1 - n}{n}}$