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Popular >

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

Solution

\int_{0}^{3} ∣ 4 - 2 x ∣ d x

Solution

5

Solution steps

\int_{0}^{3} ∣ 4 - 2 x ∣ d x

Eliminate Absolutes

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

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

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

= 4 + 1

Simplify

= 5

Graph

Popular Examples

integral from 0 to 1 of x^2(ln(x))^3

\int_{0}^{1} x^{2} (ln (x))^{3} d x

integral from-4 to 1 of (-x+4)-(x^2+2x)

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

integral from 0 to 2 of x^2-9x+14

\int_{0}^{2} x^{2} - 9 x + 14 d x

integral from 4 to 14 of 5e^{0.02x}

\int_{4}^{14} 5 e^{0.02 x} d x

integral from sqrt(y) to 1 of cos(x^3)

\int_{y}^{1} cos (x^{3}) d x

Frequently Asked Questions (FAQ)

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