Calculus Examples

$\int_{- a}^{a} f (x) d x$

Step 1

Apply the constant rule.

$f (x) x]_{- a}^{a}$

Step 2

Substitute and simplify.

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Step 2.1

Evaluate $f (x) x$ at $a$ and at $- a$ .

$(f (x) a) - f (x) (- a)$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $- 1$ by $- 1$ .

$f (x) a + 1 f (x) a$

Step 2.2.2

Multiply $f (x)$ by $1$ .

$f (x) a + f (x) a$

Step 2.2.3

Add $f (x) a$ and $f (x) a$ .

$2 f (x) a$

$2 f (x) a$

$2 f (x) a$

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