What is the integral from-8 to 32 of 1/(sqrt(|2x|)) ?

The integral from-8 to 32 of 1/(sqrt(|2x|)) is 12

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integral from-8 to 32 of 1/(sqrt(|2x|))

\int_{- 8}^{32} \frac{1}{∣ 2 x ∣} d x

12

Solution steps

\int_{- 8}^{32} \frac{1}{∣ 2 x ∣} d x

Eliminate Absolutes

= \int_{- 8}^{0} \frac{1}{- 2 x} d x + \int_{0}^{32} \frac{1}{2 x} d x

\int_{- 8}^{0} \frac{1}{- 2 x} d x = 4

\int_{0}^{32} \frac{1}{2 x} d x = 8

= 4 + 8

Simplify

= 12

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What is the integral from-8 to 32 of 1/(sqrt(|2x|)) ?
The integral from-8 to 32 of 1/(sqrt(|2x|)) is 12