Calculus Examples

$f (2) = (2^{2} + 2 (2) + 3) (3 {(2)}^{2} + 3)$

Step 1

Simplify each term.

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Step 1.1

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

$f (2) = (4 + 2 (2) + 3) (3 {(2)}^{2} + 3)$

Step 1.2

Multiply $2$ by $2$ .

$f (2) = (4 + 4 + 3) (3 {(2)}^{2} + 3)$

$f (2) = (4 + 4 + 3) (3 {(2)}^{2} + 3)$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $4$ and $4$ .

$f (2) = (8 + 3) (3 {(2)}^{2} + 3)$

Step 2.2

Add $8$ and $3$ .

$f (2) = 11 (3 {(2)}^{2} + 3)$

$f (2) = 11 (3 {(2)}^{2} + 3)$

Step 3

Simplify each term.

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Step 3.1

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

$f (2) = 11 (3 \cdot 4 + 3)$

Step 3.2

Multiply $3$ by $4$ .

$f (2) = 11 (12 + 3)$

$f (2) = 11 (12 + 3)$

Step 4

Simplify the expression.

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Step 4.1

Add $12$ and $3$ .

$f (2) = 11 \cdot 15$

Step 4.2

Multiply $11$ by $15$ .

$f (2) = 165$

$f (2) = 165$

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