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

Multiply $x$ by $1$ .

$\int x d x$

Step 5

By the Power Rule, the integral of $x$ with respect to $x$ is $\frac{1}{2} x^{2}$ .

$\frac{1}{2} x^{2} + C$

Step 6

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

$F (x) =$ $\frac{1}{2} x^{2} + C$