Calculus Examples

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

Step 1

Simplify each term.

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Step 1.1

Factor $x$ out of $2 x^{2} + x$ .

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Step 1.1.1

Factor $x$ out of $2 x^{2}$ .

$\frac{x (2 x) + x}{x} - 1$

Step 1.1.2

Raise $x$ to the power of $1$ .

$\frac{x (2 x) + x^{1}}{x} - 1$

Step 1.1.3

Factor $x$ out of $x^{1}$ .

$\frac{x (2 x) + x \cdot 1}{x} - 1$

Step 1.1.4

Factor $x$ out of $x (2 x) + x \cdot 1$ .

$\frac{x (2 x + 1)}{x} - 1$

$\frac{x (2 x + 1)}{x} - 1$

Step 1.2

Cancel the common factor of $x$ .

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Step 1.2.1

Cancel the common factor.

$\frac{x (2 x + 1)}{x} - 1$

Step 1.2.2

Divide $2 x + 1$ by $1$ .

$2 x + 1 - 1$

$2 x + 1 - 1$

$2 x + 1 - 1$

Step 2

Combine the opposite terms in $2 x + 1 - 1$ .

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Step 2.1

Subtract $1$ from $1$ .

$2 x + 0$

Step 2.2

Add $2 x$ and $0$ .

$2 x$

$2 x$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$