What is the integral from-2 to 2 of sqrt(2+|x|) ?

The integral from-2 to 2 of sqrt(2+|x|) is 2*(16-4sqrt(2))/3

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integral from-2 to 2 of sqrt(2+|x|)

\int_{- 2}^{2} 2 + ∣ x ∣ d x

2 \cdot \frac{16 - 4 2}{3}

Decimal

6.89543 \dots

Solution steps

\int_{- 2}^{2} 2 + ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 2}^{0} 2 - x d x + \int_{0}^{2} 2 + x d x

\int_{- 2}^{0} 2 - x d x = \frac{16 - 4 2}{3}

\int_{0}^{2} 2 + x d x = \frac{16 - 4 2}{3}

= \frac{16 - 4 2}{3} + \frac{16 - 4 2}{3}

Simplify

= 2 \cdot \frac{16 - 4 2}{3}

What is the integral from-2 to 2 of sqrt(2+|x|) ?
The integral from-2 to 2 of sqrt(2+|x|) is 2*(16-4sqrt(2))/3