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Popular >

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

Solution

\int_{1}^{4} ∣ 3 x - 6 ∣ d x

Solution

\frac{15}{2}

+1

Decimal Notation

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}

Popular Examples

integral from-3 to 0 of 3x^2(3x^3+3)^6

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

integral from-1 to 3 of 1/x

\int_{- 1}^{3} \frac{1}{x} d x

integral from 0 to 4 of 2/(sqrt(2x+1))

\int_{0}^{4} \frac{2}{2 x + 1} d x

integral from 0 to 1 of (2-y)^2sqrt(y)

\int_{0}^{1} (2 - y)^{2} y d y

integral from 0 to 2 of 4x(x^2+3)^3

\int_{0}^{2} 4 x (x^{2} + 3)^{3} d x

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