Calculus Examples

$\int \frac{\ln (x)}{x} d x$

Step 1

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

$\frac{\ln (x)}{x}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$