Calculus Examples

$y = e^{x}$

Step 1

Write $y = e^{x}$ as a function.

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

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.

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

Step 4

The integral of $e^{x}$ with respect to $x$ is $e^{x}$ .

$e^{x} + C$

Step 5

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

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