What is the integral from 0 to 6 of 1/(sqrt(|x-3|)) ?

The integral from 0 to 6 of 1/(sqrt(|x-3|)) is 4sqrt(3)

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integral from 0 to 6 of 1/(sqrt(|x-3|))

\int_{0}^{6} \frac{1}{∣ x - 3 ∣} d x

43

Decimal Notation

6.92820 \dots

Solution steps

\int_{0}^{6} \frac{1}{∣ x - 3 ∣} d x

Eliminate Absolutes

= \int_{0}^{3} \frac{1}{- x + 3} d x + \int_{3}^{6} \frac{1}{x - 3} d x

\int_{0}^{3} \frac{1}{- x + 3} d x = 23

\int_{3}^{6} \frac{1}{x - 3} d x = 23

= 23 + 23

Simplify

= 43

\frac{d}{d x} (x (x^{2} + 3)^{3})

y^{^{''}} + 9 y = 2 x^{2} - 5

x \to 1 lim (\frac{x ^{10} - 1}{x - 1})

\frac{d}{d x} (- \frac{2}{( 1 + 2 x ) ^{2}})

\frac{d}{d x} (x e^{2 x})

What is the integral from 0 to 6 of 1/(sqrt(|x-3|)) ?
The integral from 0 to 6 of 1/(sqrt(|x-3|)) is 4sqrt(3)