Calculus Examples

f (x) = \sec^{2} (x)

$f (x) = \sec^{2} (x)$

Step 1

The function

F (x)

$F (x)$ can be found by finding the indefinite integral of the derivative

f (x)

$f (x)$ .

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

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

Step 2

Set up the integral to solve.

F (x) = \int \sec^{2} (x) d x

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

Step 3

Since the derivative of

\tan (x)

$\tan (x)$ is

\sec^{2} (x)

$\sec^{2} (x)$ , the integral of

\sec^{2} (x)

$\sec^{2} (x)$ is

\tan (x)

$\tan (x)$ .

\tan (x) + C

$\tan (x) + C$

Step 4

The answer is the antiderivative of the function

f (x) = \sec^{2} (x)

$f (x) = \sec^{2} (x)$ .

F (x) =

$F (x) =$

\tan (x) + C

$\tan (x) + C$

f (x) = \sec^{2} (x)

$f (x) = \sec^{2} (x)$

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