Calculus Examples

$\int_{2}^{7} 6 d x$

Step 1

Apply the constant rule.

$6 x]_{2}^{7}$

Step 2

Substitute and simplify.

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Step 2.1

Evaluate $6 x$ at $7$ and at $2$ .

$(6 \cdot 7) - 6 \cdot 2$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $6$ by $7$ .

$42 - 6 \cdot 2$

Step 2.2.2

Multiply $- 6$ by $2$ .

$42 - 12$

Step 2.2.3

Subtract $12$ from $42$ .

$30$

$30$

$30$

Step 3

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