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Popular >

integral from 0 to 3 of |2x-4|

Solution

\int_{0}^{3} ∣ 2 x - 4 ∣ d x

Solution

5

Solution steps

\int_{0}^{3} ∣ 2 x - 4 ∣ d x

Eliminate Absolutes

= \int_{0}^{2} - 2 x + 4 d x + \int_{2}^{3} 2 x - 4 d x

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

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

= 4 + 1

Simplify

= 5

Popular Examples

integral of (7x^6+x/7)

\int (7 x^{6} + \frac{x}{7}) d x

implicit (dy)/(dx),x^2=y^3 implicit derivative

\frac{d y}{d x}, x^{2} = y^{3}

derivative of (arccos(x)^{10})

\frac{d}{d x} ((arccos (x))^{10})

derivative of (2-x^4)

\frac{d}{d x} ((2 - x)^{4})

integral of (sqrt(25+5x))/x

\int \frac{25 + 5 x}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of |2x-4| ?
The integral from 0 to 3 of |2x-4| is 5