Calculus Examples

$1^{x}$

Step 1

Write $1^{x}$ as a function.

$f (x) = 1^{x}$

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.

$F (x) = \int 1^{x} d x$

Step 4

One to any power is one.

$\int d x$

Step 5

Apply the constant rule.

$x + C$

Step 6

The answer is the antiderivative of the function $f (x) = 1^{x}$ .

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