Calculus Examples

$\frac{π}{2} \cdot (6 - 2 t)$

Step 1

Simplify terms.

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Step 1.1

Apply the distributive property.

$\frac{π}{2} \cdot 6 + \frac{π}{2} (- 2 t)$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Factor $2$ out of $6$ .

$\frac{π}{2} \cdot (2 (3)) + \frac{π}{2} (- 2 t)$

Step 1.2.2

Cancel the common factor.

$\frac{π}{2} \cdot (2 \cdot 3) + \frac{π}{2} (- 2 t)$

Step 1.2.3

Rewrite the expression.

$π \cdot 3 + \frac{π}{2} (- 2 t)$

$π \cdot 3 + \frac{π}{2} (- 2 t)$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Factor $2$ out of $- 2 t$ .

$π \cdot 3 + \frac{π}{2} (2 (- t))$

Step 1.3.2

Cancel the common factor.

$π \cdot 3 + \frac{π}{2} (2 (- t))$

Step 1.3.3

Rewrite the expression.

$π \cdot 3 + π (- t)$

$π \cdot 3 + π (- t)$

$π \cdot 3 + π (- t)$

Step 2

Move $3$ to the left of $π$ .

$3 π + π (- t)$

Step 3

Reorder factors in $3 π + π (- t)$ .

$3 π - π t$

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