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Popular >

integral from 1 to 6 of |4x-12|

Solution

\int_{1}^{6} ∣ 4 x - 12 ∣ d x

Solution

26

Solution steps

\int_{1}^{6} ∣ 4 x - 12 ∣ d x

Eliminate Absolutes

= \int_{1}^{3} - 4 x + 12 d x + \int_{3}^{6} 4 x - 12 d x

\int_{1}^{3} - 4 x + 12 d x = 8

\int_{3}^{6} 4 x - 12 d x = 18

= 8 + 18

Simplify

= 26

Popular Examples

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

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\int_{- 1}^{0} 7 - 3 x d x

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

integral from r-h to r of pi(r^2-x^2)

\int_{r - h}^{r} π (r^{2} - x^{2}) d x

integral from 1 to 2 of e^{3t}

\int_{1}^{2} e^{3 t} d t

Frequently Asked Questions (FAQ)

What is the integral from 1 to 6 of |4x-12| ?
The integral from 1 to 6 of |4x-12| is 26