Calculus Examples

$\int_{2}^{4} 3 d x$

Step 1

Apply the constant rule.

$3 x]_{2}^{4}$

Step 2

Substitute and simplify.

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Step 2.1

Evaluate $3 x$ at $4$ and at $2$ .

$(3 \cdot 4) - 3 \cdot 2$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $3$ by $4$ .

$12 - 3 \cdot 2$

Step 2.2.2

Multiply $- 3$ by $2$ .

$12 - 6$

Step 2.2.3

Subtract $6$ from $12$ .

$6$

$6$

$6$

Step 3

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