Calculus Examples

$\sum_{i = 1}^{3} \frac{1}{{x_{i}}^{2}}$

Step 1

Expand the series for each value of $i$ .

$\frac{1}{{x_{i}}^{2}} + \frac{1}{{x_{i}}^{2}} + \frac{1}{{x_{i}}^{2}}$

Step 2

Simplify.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{1 + 1 + 1}{{x_{i}}^{2}}$

Step 2.2

Add $1$ and $1$ .

$\frac{2 + 1}{{x_{i}}^{2}}$

Step 2.3

Add $2$ and $1$ .

$\frac{3}{{x_{i}}^{2}}$