Calculus Examples

$\int \frac{1}{\cos (x)} d x$

Step 1

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

$\int \sec (x) d x$

Step 2

The integral of $\sec (x)$ with respect to $x$ is $\ln (| \sec (x) + \tan (x) |)$ .

$\ln (| \sec (x) + \tan (x) |) + C$

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