Calculus Examples

$\frac{70 (1 + 1)}{{(1^{2} + 2 (1) + 10)}^{2}}$

Step 1

Add $1$ and $1$ .

$\frac{70 \cdot 2}{{(1^{2} + 2 (1) + 10)}^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

One to any power is one.

$\frac{70 \cdot 2}{{(1 + 2 (1) + 10)}^{2}}$

Step 2.2

Multiply $2$ by $1$ .

$\frac{70 \cdot 2}{{(1 + 2 + 10)}^{2}}$

Step 2.3

Add $1$ and $2$ .

$\frac{70 \cdot 2}{{(3 + 10)}^{2}}$

Step 2.4

Add $3$ and $10$ .

$\frac{70 \cdot 2}{13^{2}}$

Step 2.5

Raise $13$ to the power of $2$ .

$\frac{70 \cdot 2}{169}$

$\frac{70 \cdot 2}{169}$

Step 3

Multiply $70$ by $2$ .

$\frac{140}{169}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{140}{169}$

Decimal Form:

$0.82840236 \dots$

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