Calculus Examples

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

Step 1

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 2

Set up the integral to solve.

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

Step 3

$\int \frac{e^{x}}{x} d x$ is a special integral. The integral is the exponential integral function.

$E i (x) + C$

Step 4

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

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