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Popular >

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

Solution

\int_{0}^{3} ∣ 2 x - 2 ∣ d x

Solution

5

Solution steps

\int_{0}^{3} ∣ 2 x - 2 ∣ d x

Eliminate Absolutes

= \int_{0}^{1} - 2 x + 2 d x + \int_{1}^{3} 2 x - 2 d x

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

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

= 1 + 4

Simplify

= 5

Graph

Popular Examples

integral from 2 to 4 of |t^2-2t-3|

\int_{2}^{4} t^{2} - 2 t - 3 d t

integral from 1 to e of (8(ln(x))^3)/x

\int_{1}^{e} \frac{8 ( ln ( x ) ) ^{3}}{x} d x

integral from 1 to 3 of ((x+1)^2)/x

\int_{1}^{3} \frac{( x + 1 ) ^{2}}{x} d x

integral from-1 to 2 of 1/x

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

integral from-1 to 0 of e^x

\int_{- 1}^{0} e^{x} d x

Frequently Asked Questions (FAQ)

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