Algebra Examples

$\sec (x) \tan (x)$

Write $\sec (x) \tan (x)$ as a function.

$f (x) = \sec (x) \tan (x)$

The function $F (x)$ can be found by finding the indefinite integral of the derivative $f (x)$ .

$F (x) = \int f (x) d x$

Set up the integral to solve.

$F (x) = \int \sec (x) \tan (x) d x$

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

$\sec (x) + C$

The answer is the antiderivative of the function $f (x) = \sec (x) \tan (x)$ .

$F (x) =$ $\sec (x) + C$