Calculus Examples

$\sum_{i = 1}^{3} {(i + 1)}^{i}$

Step 1

Expand the series for each value of $i$ .

${(1 + 1)}^{1} + {(2 + 1)}^{2} + {(3 + 1)}^{3}$

Step 2

Simplify.

Tap for more steps...

Add $1$ and $1$ .

$2^{1} + {(2 + 1)}^{2} + {(3 + 1)}^{3}$

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

$2 + {(2 + 1)}^{2} + {(3 + 1)}^{3}$

Add $2$ and $1$ .

$2 + 3^{2} + {(3 + 1)}^{3}$

Raise $3$ to the power of $2$ .

$2 + 9 + {(3 + 1)}^{3}$

Add $2$ and $9$ .

$11 + {(3 + 1)}^{3}$

Add $3$ and $1$ .

$11 + 4^{3}$

Raise $4$ to the power of $3$ .

$11 + 64$

Add $11$ and $64$ .

$75$

$75$

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