Calculus Examples

$\frac{x}{x}$

Step 1

Write $\frac{x}{x}$ as a function.

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

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.

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

Step 4

Split the fraction into multiple fractions.

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Step 4.1

Cancel the common factor.

$\int \frac{x}{x} d x$

Step 4.2

Rewrite the expression.

$\int d x$

Step 5

Apply the constant rule.

$x + C$

Step 6

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

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