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Popular >

integral from 0 to 4 of |3x-6|

Solution

\int_{0}^{4} ∣ 3 x - 6 ∣ d x

Solution

12

Solution steps

\int_{0}^{4} ∣ 3 x - 6 ∣ d x

Eliminate Absolutes

= \int_{0}^{2} - 3 x + 6 d x + \int_{2}^{4} 3 x - 6 d x

\int_{0}^{2} - 3 x + 6 d x = 6

\int_{2}^{4} 3 x - 6 d x = 6

= 6 + 6

Simplify

= 12

Graph

Popular Examples

integral from 3 to 7 of (sqrt(4x-12))/2

\int_{3}^{7} \frac{4 x - 12}{2} d x

integral from 0 to infinity of 1/4 (y-x)e^{-y}

\int_{0}^{\infty} \frac{1}{4} (y - x) e^{- y} d y

integral from-3 to 3 of (3+sqrt(9-x^2))

\int_{- 3}^{3} (3 + 9 - x^{2}) d x

integral from 0 to pi of cos(x)sinh(x)

\int_{0}^{π} cos (x) sinh (x) d x

integral from-5 to 1 of 1/6 (5-4x-x^2)

\int_{- 5}^{1} \frac{1}{6} (5 - 4 x - x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of |3x-6| ?
The integral from 0 to 4 of |3x-6| is 12