Calculus Examples

$\int 2 \sec^{2} (x) d x$

Step 1

Since $2$ is constant with respect to $x$ , move $2$ out of the integral.

$2 \int \sec^{2} (x) d x$

Step 2

Since the derivative of $\tan (x)$ is $\sec^{2} (x)$ , the integral of $\sec^{2} (x)$ is $\tan (x)$ .

$2 (\tan (x) + C)$

Step 3

Simplify.

$2 \tan (x) + C$