What is the integral from-2 to 2 of 1/(sqrt(2+x)) ?

The integral from-2 to 2 of 1/(sqrt(2+x)) is 4

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integral from-2 to 2 of 1/(sqrt(2+x))

\int_{- 2}^{2} \frac{1}{2 + x} d x

4

Solution steps

\int_{- 2}^{2} \frac{1}{2 + x} d x

Apply u-substitution

: \int_{0}^{2} 2 d u

= \int_{0}^{2} 2 d u

Integral of a constant:

\int a d x = a x

= [2 u]_{0}^{2}

Compute the boundaries:

4

= 4

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What is the integral from-2 to 2 of 1/(sqrt(2+x)) ?
The integral from-2 to 2 of 1/(sqrt(2+x)) is 4