Calculus Examples

$e^{2}$

Step 1

Write $e^{2}$ as a function.

$f (x) = e^{2}$

Step 2

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

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

Step 3

Set up the integral to solve.

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

Step 4

Apply the constant rule.

$e^{2} x + C$

Step 5

The answer is the antiderivative of the function $f (x) = e^{2}$ .

$F (x) =$ $e^{2} x + C$