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Popular Calculus >

integral from 1 to 4 of |3x-6|

Solution

\int_{1}^{4} ∣ 3 x - 6 ∣ d x

Solution

\frac{15}{2}

+1

Decimal

7.5

Solution steps

\int_{1}^{4} ∣ 3 x - 6 ∣ d x

Eliminate Absolutes

= \int_{1}^{2} - 3 x + 6 d x + \int_{2}^{4} 3 x - 6 d x

\int_{1}^{2} - 3 x + 6 d x = \frac{3}{2}

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

= \frac{3}{2} + 6

Simplify

\frac{3}{2} + 6 : \frac{15}{2}

= \frac{15}{2}

Graph

Popular Examples

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of |3x-6| ?
The integral from 1 to 4 of |3x-6| is 15/2