Calculus Examples

$y = \arctan (4 (0.875)) + \ln (16 {(0.875)}^{2} + 1)$

Step 1

Remove parentheses.

$y = \arctan (4 (0.875)) + \ln (16 \cdot {0.875}^{2} + 1)$

Step 2

Simplify $\arctan (4 (0.875)) + \ln (16 \cdot {0.875}^{2} + 1)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $4$ by $0.875$ .

$y = \arctan (3.5) + \ln (16 \cdot {0.875}^{2} + 1)$

Step 2.1.2

Evaluate $\arctan (3.5)$ .

$y = 1.29249666 + \ln (16 \cdot {0.875}^{2} + 1)$

Step 2.1.3

Simplify each term.

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Step 2.1.3.1

Raise $0.875$ to the power of $2$ .

$y = 1.29249666 + \ln (16 \cdot 0.765625 + 1)$

Step 2.1.3.2

Multiply $16$ by $0.765625$ .

$y = 1.29249666 + \ln (12.25 + 1)$

Step 2.1.4

Add $12.25$ and $1$ .

$y = 1.29249666 + \ln (13.25)$

Step 2.2

Add $1.29249666$ and $\ln (13.25)$ .

$y = 3.87649422$