Calculus Examples

$\int 5 \sec (x) \tan (x) d x$

Step 1

Since $5$ is constant with respect to $x$ , move $5$ out of the integral.

$5 \int \sec (x) \tan (x) d x$

Step 2

Since the derivative of $\sec (x)$ is $\sec (x) \tan (x)$ , the integral of $\sec (x) \tan (x)$ is $\sec (x)$ .

$5 (\sec (x) + C)$

Step 3

Simplify.

$5 \sec (x) + C$