What is the integral from 0 to 1 of |x| ?

The integral from 0 to 1 of |x| is 1/2

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integral from 0 to 1 of |x|

\int_{0}^{1} ∣ x ∣ d x

\frac{1}{2}

Decimal Notation

0.5

Solution steps

\int_{0}^{1} ∣ x ∣ d x

Eliminate Absolutes

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

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{1}

= [\frac{x ^{2}}{2}]_{0}^{1}

Compute the boundaries:

\frac{1}{2}

= \frac{1}{2}

f (x) = x + x, at x = 1

\int_{0}^{1} 2^{- θ} d θ

x \to 0 lim (3 x - 4)

\frac{d}{d y} (cos (x y))

\frac{d y}{d t} = \frac{t}{t ^{2} y + y}

What is the integral from 0 to 1 of |x| ?
The integral from 0 to 1 of |x| is 1/2