Calculus Examples

$x - \frac{1}{95} x^{3}$

Step 1

Factor $x$ out of $x - \frac{1}{95} x^{3}$ .

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Step 1.1

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

$x^{1} - \frac{1}{95} x^{3}$

Step 1.2

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

$x \cdot 1 - \frac{1}{95} x^{3}$

Step 1.3

Factor $x$ out of $- \frac{1}{95} x^{3}$ .

$x \cdot 1 + x (- \frac{1}{95} x^{2})$

Step 1.4

Factor $x$ out of $x \cdot 1 + x (- \frac{1}{95} x^{2})$ .

$x (1 - \frac{1}{95} x^{2})$

$x (1 - \frac{1}{95} x^{2})$

Step 2

Factor.

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Step 2.1

Factor $\frac{1}{95}$ out of each term.

$x (\frac{1}{95} (95 - 1 x^{2}))$

Step 2.2

Remove unnecessary parentheses.

$x \frac{1}{95} (95 - 1 x^{2})$

$x \frac{1}{95} (95 - 1 x^{2})$

Step 3

Combine $x$ and $\frac{1}{95}$ .

$\frac{x}{95} (95 - 1 x^{2})$

Step 4

Rewrite $- 1 x^{2}$ as $- x^{2}$ .

$\frac{x}{95} \cdot (95 - x^{2})$

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