Calculus Examples

$\int_{- 5}^{5} e d x$

Step 1

Apply the constant rule.

$e x]_{- 5}^{5}$

Step 2

Substitute and simplify.

Tap for more steps...

Step 2.1

Evaluate $e x$ at $5$ and at $- 5$ .

$(e \cdot 5) - e \cdot - 5$

Step 2.2

Simplify.

Tap for more steps...

Step 2.2.1

Move $5$ to the left of $e$ .

$5 \cdot e - e \cdot - 5$

Step 2.2.2

Multiply $- 5$ by $- 1$ .

$5 e + 5 e$

Step 2.2.3

Add $5 e$ and $5 e$ .

$10 e$

$10 e$

$10 e$

Step 3

The result can be shown in multiple forms.

Exact Form:

$10 e$

Decimal Form:

$27.18281828 \dots$

Step 4

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