Calculus Examples

$e^{0}$

Step 1

Write $e^{0}$ as a function.

$f (x) = e^{0}$

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.

$F (x) = \int e^{0} d x$

Step 4

Anything raised to $0$ is $1$ .

$\int d x$

Step 5

Apply the constant rule.

$x + C$

Step 6

The answer is the antiderivative of the function $f (x) = e^{0}$ .

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