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Popular >

integral from 0 to 5 of |2x-4|

Solution

\int_{0}^{5} ∣ 2 x - 4 ∣ d x

Solution

13

Solution steps

\int_{0}^{5} ∣ 2 x - 4 ∣ d x

Eliminate Absolutes

= \int_{0}^{2} - 2 x + 4 d x + \int_{2}^{5} 2 x - 4 d x

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

\int_{2}^{5} 2 x - 4 d x = 9

= 4 + 9

Simplify

= 13

Popular Examples

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\int_{\frac{π}{6}}^{\frac{π}{2}} cos (x) d x

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\int_{0}^{0.4} 4 x^{2} sin (x) d x

integral from 0 to infinity of 2e^{-x-2y}

\int_{0}^{\infty} 2 e^{- x - 2 y} d y

integral from 0 to t of xe^{t-x}

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

integral from 0 to 10 of |5-2x|

\int_{0}^{10} ∣ 5 - 2 x ∣ d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of |2x-4| ?
The integral from 0 to 5 of |2x-4| is 13