Calculus Examples

$\int_{- 2}^{2} 3 d x$

Step 1

Apply the constant rule.

$3 x]_{- 2}^{2}$

Step 2

Substitute and simplify.

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Step 2.1

Evaluate $3 x$ at $2$ and at $- 2$ .

$(3 \cdot 2) - 3 \cdot - 2$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $3$ by $2$ .

$6 - 3 \cdot - 2$

Step 2.2.2

Multiply $- 3$ by $- 2$ .

$6 + 6$

Step 2.2.3

Add $6$ and $6$ .

$12$

$12$

$12$

Step 3

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