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

The integral from-1 to 4 of 1/(sqrt(|x|)) is 6

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integral from-1 to 4 of 1/(sqrt(|x|))

\int_{- 1}^{4} \frac{1}{∣ x ∣} d x

6

Solution steps

\int_{- 1}^{4} \frac{1}{∣ x ∣} d x

Eliminate Absolutes

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

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

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

= 2 + 4

Simplify

= 6

\frac{\partial}{\partial x} (4 x^{2} - 2 x y + y^{2})

x \to 4 lim (x - \frac{4}{x ^{2} - 16})

x^{3} - 3, [- 2, 0]

e^{3 x + 1}

\frac{d}{d x} (\frac{sin ( 5 x )}{5})

What is the integral from-1 to 4 of 1/(sqrt(|x|)) ?
The integral from-1 to 4 of 1/(sqrt(|x|)) is 6