Calculus Examples

$\int_{0}^{6} 2 d x$

Step 1

Apply the constant rule.

$2 x]_{0}^{6}$

Step 2

Substitute and simplify.

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Step 2.1

Evaluate $2 x$ at $6$ and at $0$ .

$(2 \cdot 6) - 2 \cdot 0$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $2$ by $6$ .

$12 - 2 \cdot 0$

Step 2.2.2

Multiply $- 2$ by $0$ .

$12 + 0$

Step 2.2.3

Add $12$ and $0$ .

$12$

$12$

$12$

Step 3

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