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Popular >

integral from 0 to 2 of |x|

Solution

\int_{0}^{2} ∣ x ∣ d x

Solution

2

Solution steps

\int_{0}^{2} ∣ x ∣ d x

Eliminate Absolutes

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

Apply the Power Rule

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

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

Compute the boundaries:

2

= 2

Popular Examples

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f (x) = x^{2} + 3 x - 3, at x = 1

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f (t) = e^{5 t s i n (2 t)}

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limit as x approaches 1-of 6/(x^3-1)

x \to 1 - lim (\frac{6}{x ^{3} - 1})

Frequently Asked Questions (FAQ)

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