Finite Math Examples

$f {(- 4 x + 1)}^{3} d x$

Step 1

Factor $- 1$ out of $- 4 x + 1$ .

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Step 1.1

Factor $- 1$ out of $- 4 x$ .

$f {(- (4 x) + 1)}^{3} d x$

Step 1.2

Rewrite $1$ as $- 1 (- 1)$ .

$f {(- (4 x) - 1 (- 1))}^{3} d x$

Step 1.3

Factor $- 1$ out of $- (4 x) - 1 (- 1)$ .

$f {(- (4 x - 1))}^{3} d x$

$f {(- (4 x - 1))}^{3} d x$

Step 2

Factor.

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Step 2.1

Apply the product rule to $- (4 x - 1)$ .

$f ({(- 1)}^{3} {(4 x - 1)}^{3}) d x$

Step 2.2

Remove unnecessary parentheses.

$f {(- 1)}^{3} {(4 x - 1)}^{3} d x$

$f {(- 1)}^{3} {(4 x - 1)}^{3} d x$

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