Calculus Examples

$\int \frac{1}{d x} d y d x$

Step 1

Apply the constant rule.

$(\frac{1}{d x} y + C) d x$

Step 2

Simplify the answer.

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Step 2.1

Combine $\frac{1}{d x}$ and $y$ .

$(\frac{y}{d x} + C) d x$

Step 2.2

Rewrite $(\frac{y}{d x} + C) d x$ as $\frac{y}{x} x + C$ .

$\frac{y}{x} x + C$

Step 2.3

Simplify.

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Step 2.3.1

Combine $\frac{y}{x}$ and $x$ .

$\frac{y x}{x} + C$

Step 2.3.2

Cancel the common factor of $x$ .

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Step 2.3.2.1

Cancel the common factor.

$\frac{y x}{x} + C$

Step 2.3.2.2

Divide $y$ by $1$ .

$y + C$