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Popular >

integral from 0 to 2 of |2x-2|

Solution

\int_{0}^{2} ∣ 2 x - 2 ∣ d x

Solution

2

Solution steps

\int_{0}^{2} ∣ 2 x - 2 ∣ d x

Eliminate Absolutes

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

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

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

= 1 + 1

Simplify

= 2

Graph

Popular Examples

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\int_{1}^{2} 4^{3 x} d x

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\int_{1}^{2} \frac{z ^{2} + 3}{z} d z

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\int_{1}^{5} (\frac{2}{x}) d x

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\int_{1}^{4} ln (4 x) d x

integral from 0 to t of te^t

\int_{0}^{t} t e^{t} d t

Frequently Asked Questions (FAQ)

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