What is the integral from-18 to 2 of 1/(sqrt(|2x|)) ?

The integral from-18 to 2 of 1/(sqrt(|2x|)) is 8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-18 to 2 of 1/(sqrt(|2x|))

\int_{- 18}^{2} \frac{1}{∣ 2 x ∣} d x

8

Solution steps

\int_{- 18}^{2} \frac{1}{∣ 2 x ∣} d x

Eliminate Absolutes

= \int_{- 18}^{0} \frac{1}{- 2 x} d x + \int_{0}^{2} \frac{1}{2 x} d x

\int_{- 18}^{0} \frac{1}{- 2 x} d x = 6

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

= 6 + 2

Simplify

= 8

\int_{- 3}^{3} \frac{20}{x ^{2} - 6 x - 91} d x

\int \frac{x ^{2}}{( x - 3 ) ( x - 4 ) ^{2}} d x

x \to 0 lim (\frac{6 ^{x} - 8 ^{x}}{x})

y^{^{'}} = \frac{1}{y}

\frac{1}{2 \cdot 5} y + y^{^{'}} = \frac{t}{2}, y (30) = 10

What is the integral from-18 to 2 of 1/(sqrt(|2x|)) ?
The integral from-18 to 2 of 1/(sqrt(|2x|)) is 8