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Popular >

integral from 0 to 4 of |2-x|

Solution

\int_{0}^{4} ∣ 2 - x ∣ d x

Solution

4

Solution steps

\int_{0}^{4} ∣ 2 - x ∣ d x

Eliminate Absolutes

= \int_{0}^{2} 2 - x d x + \int_{2}^{4} - 2 + x d x

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

\int_{2}^{4} - 2 + x d x = 2

= 2 + 2

Simplify

= 4

Graph

Popular Examples

integral from 0 to 4 of 1/(4-x)

\int_{0}^{4} \frac{1}{4 - x} d x

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\int_{0}^{π} sin (x) cos^{3} (x) d x

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\int_{0}^{l n (3)} 3 e^{2 x} d x

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\int_{0}^{3} 3 x - 8 d x

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\int_{3}^{6} 1 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of |2-x| ?
The integral from 0 to 4 of |2-x| is 4