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.

$- 2 \tan (x) + C$