Calculus Examples

$\int \frac{1}{2 y} d y$

Step 1

Since $\frac{1}{2}$ is constant with respect to $y$ , move $\frac{1}{2}$ out of the integral.

$\frac{1}{2} \int \frac{1}{y} d y$

Step 2

The integral of $\frac{1}{y}$ with respect to $y$ is $\ln (| y |)$ .

$\frac{1}{2} (\ln (| y |) + C)$

Step 3

Simplify.

$\frac{1}{2} \ln (| y |) + C$