Calculus Examples

$y = \ln (e^{5})$

Step 1

Use logarithm rules to move $5$ out of the exponent.

$y = 5 \ln (e)$

Step 2

The natural logarithm of $e$ is $1$ .

$y = 5 \cdot 1$

Step 3

Multiply $5$ by $1$ .

$y = 5$

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