Calculus Examples

$\sum_{x = 0}^{2} x^{2}$

Step 1

Expand the series for each value of $x$ .

$0^{2} + 1^{2} + 2^{2}$

Step 2

Simplify.

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Raise $0$ to the power of $2$ .

$0 + 1^{2} + 2^{2}$

Raise $1$ to the power of $2$ .

$0 + 1 + 2^{2}$

Add $0$ and $1$ .

$1 + 2^{2}$

Raise $2$ to the power of $2$ .

$1 + 4$

Add $1$ and $4$ .

$5$

$5$

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