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Popular >

integral from 1 to 5 of |2x-4|

Solution

\int_{1}^{5} ∣ 2 x - 4 ∣ d x

Solution

10

Solution steps

\int_{1}^{5} ∣ 2 x - 4 ∣ d x

Eliminate Absolutes

= \int_{1}^{2} - 2 x + 4 d x + \int_{2}^{5} 2 x - 4 d x

\int_{1}^{2} - 2 x + 4 d x = 1

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

= 1 + 9

Simplify

= 10

Graph

Popular Examples

integral from-1 to 1 of |2x|

\int_{- 1}^{1} ∣ 2 x ∣ d x

integral from-2 to 2 of (15-|x|^3)

\int_{- 2}^{2} (15 - ∣ x ∣^{3}) d x

integral from 0 to pi of cos^6(x/2)

\int_{0}^{π} cos^{6} (\frac{x}{2}) d x

integral from-2 to 2 of (-x^2-1)

\int_{- 2}^{2} (- x^{2} - 1) d x

integral from-2 to 3 of (3x^2-2x+7)

\int_{- 2}^{3} (3 x^{2} - 2 x + 7) d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of |2x-4| ?
The integral from 1 to 5 of |2x-4| is 10